Express the trigonometric ratios sinA in term of cosA​

Answers

Answer 1

Answer:

sinA = ± [tex]\sqrt{1-cos^2A}[/tex]

Step-by-step explanation:

Using the Pythagorean identity

sin²A + cos²A = 1 ( subtract cos²A from both sides )

sin²A = 1 - cos²A ( take the square root of both sides )

sinA = ± [tex]\sqrt{1-cos^2A}[/tex]


Related Questions

Mary ran 2 miles in about 23 minutes If she continued at the same pace how long will it take her to run 10 miles?

Answers

It will take Mary 115 minutes/ 1 hour and 55 minutes to run 10 miles.

Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - x + 4 = 0

Answers

Answer:

[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex]   or   [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]

Step-by-step explanation:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

We have a = 3; b = -1; c = 4.

[tex] x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4(3)(4)}}{2(3)} [/tex]

[tex]x = \dfrac{1 \pm \sqrt{1 - 48}}{6}[/tex]

[tex]x = \dfrac{1 \pm \sqrt{-47}}{6}[/tex]

[tex]x = \dfrac{1 + i\sqrt{47}}{6}[/tex]   or   [tex]x = \dfrac{1 - i\sqrt{47}}{6}[/tex]

Can someone help me with this question please. I've been struggling.

Write the equation of the line of reflection​

Answers

Answer:

y=-1

Step-by-step explanation:

Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.

Which of the following sampling methods are biased?

systematic random sample

voluntary response sample

convenience sample

simple random sample

Answers

Answer:

- voluntary response sample

- convenience sample

Step-by-step explanation:

Any method of sampling can be biased depending on how they are cared out; however, both voluntary response and convenience are almost always biased. This is because in both the sample is not controlled. In voluntary response, there is no way to ensure that the sample will be representative of everyone since it is based on volunteers. Convenience is also biased because the sample is skewed towards whatever is convenient not what is fair and representative.

The sum of three consecutive odd numbers is 63. What are the numbers?​

Answers

19,21,23. Adding all of these consecutive odd numbers is equal to 63

Answer:

19, 21 and 23

Step-by-step explanation:

→ Make an algebraic expression for the 3 consecutive numbers

2x + 1, 2x + 3 and 2x + 5

→ Add the expressions together and make it equal to 63

2x + 1 + 2x + 3 + 2x + 5 = 63

→ Simplify

6x + 9 = 63

→ Minus 9 from both sides

6x = 54

→ Divide both sides by 6

x = 9

→ Resubstitute x = 9 into the 3 expressions

x = 9 into 2x + 1 is 19

x = 9 into 2x + 3 is 21

x = 9 into 2x + 5 is 23

Question is in the photo*

Answers

Answer:

3x - y +5=0

Step-by-step explanation:

Slope:-

=> m = 2-8/-1-1 = -6/-2

=> m = 3

Using point slope form :-

=> y - 2 = 3 ( x - (-1))

=> y - 2 = 3x + 3

=> 3x - y +5 = 0

Answer:

y=3x+5

Step-by-step explanation:

first find the gradient

m=y2-y1/x2-x1

from the coordinates you are given x one is -1,x two is1,y one is 2,y two is 8

8-2/1-(-1)

=3

therefore the gradient is 3

after finding the gradient use the equation

y-y1=m(x-x1)

substitute x1,y1 and the gradient..y and x are constant

y-2=3(x-(-1))

y-2=3x+3

y=3x+3+2

y=3x+5

Three consecutive odd integers have a sum of 27. Find the integers.

Answers

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Sum of three consecutive odd integers = [tex]27[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The values of the three integers.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\sf\purple{The\:three\:consecutive \:odd\:integers\:are\:7,\:9\:and\:11.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let us assume the three consecutive odd integers to be [tex]x[/tex], [tex](x+2)[/tex] and [tex](x+4)[/tex].

As per the condition, we have

[tex]Sum \: \: of \: \: the \: \: three \: \: consecutive \: \: odd \: \: integers = 27[/tex]

[tex]➺ \: x + (x + 2) + (x + 4) = 27[/tex]

[tex]➺ \: x + x + 2 + x + 4 = 27[/tex]

Now, collect the like terms.

[tex]➺ \: (x + x + x) + (2 + 4) = 27[/tex]

[tex]➺ \: 3x + 6 = 27[/tex]

[tex]➺ \: 3x = 27 - 6[/tex]

[tex]➺ \: 3x = 21[/tex]

[tex]➺ \: x = \frac{21}{3} \\[/tex]

[tex]➺ \: x = 7[/tex]

Therefore, the three consecutive odd integers whose sum is [tex]27[/tex] are [tex]\boxed{ 7 }[/tex], [tex]\boxed{ 9 }[/tex] and [tex]\boxed{ 11 }[/tex] respectively.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]⇢ 7 + 9 + 11 = 27[/tex]

[tex]⇢ 27 = 27[/tex]

⇢ L. H. S. = R. H. S.

[tex]\sf\blue{Hence\:verified.}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

nate and laura picked 20 apples laura picked 1/2 of what nate picked
how many did nate pick?

Answers

Answer:

10

Step-by-step explanation:

20÷2=10 the half of 20 is 10 simple as that

Answer:

ok so together they picked 20 apples so

20=y+1/2y

y=40/3 or 13 1/3

thats how many nate picked and we divide by 2

6 2/3

Hope This Helps!!!

Please help!! In class right now, I don’t understand anything

Answers

Answer:

x = 2.5

Step-by-step explanation:

Because the triangles are similar, you can divide the sides and equal the results:

24/6 = 10/x

24•x/6 = 10

24•x = 10•6

24•x = 60

x = 60/24

x = 2.5

Answer:

x = 2.5 km

Step-by-step explanation:

In similarity triangles, corresponding sides are in same ratio.

[tex]\frac{DF}{BC}=\frac{EF}{AC}\\\\\frac{10}{24}=\frac{x}{6}\\\\\frac{10}{24}*6=x\\\\x=\frac{10}{4}\\\\x=\frac{5}{2}\\\\x= 2.5[/tex]

PLS HELP (algebra 1)


solve -6 + 8(16 - 19z)

Answers

Answer:

122-152z

Step-by-step explanation:

-6+ 8(16 - 19z)

= -6 + 128 - 152z

= 122 - 152z

I hope this helps!

A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.

Answers

Answer:

[tex]Height = 12cm[/tex]

Step-by-step explanation:

Given

[tex]Volume = 1200cm^3[/tex]

The dimension of the base is:

[tex]Base =10cm[/tex]

[tex]Sides = 13cm[/tex]

See comment for complete question

Required

The height of the base

To do this, we make use of Pythagoras theorem where:

[tex]Sides^2 = (Base/2)^2 + Height^2[/tex]

So, we have:

[tex]13^2 = (10/2)^2 + Height^2[/tex]

[tex]13^2 = 5^2 + Height^2[/tex]

[tex]169 = 25 + Height^2[/tex]

Collect like terms

[tex]Height^2 = 169 - 25[/tex]

[tex]Height^2 = 144[/tex]

Take square roots of both sides

[tex]Height = 12cm[/tex]

Seven people, named Anna, Bob, Chandra, Darlene, Ed, Frank, and Gina, will be interviewed for a job. The interviewer will choose two at random to interview on the first day. What is the probability that Anna is interviewed first, and Darlene is interviewed second?

Answers

Answer:

0.0238

Step-by-step explanation:

Total number of persons to be chosen from = 7

If each person has an equal probability of being selected ;

Number of persons to be selected = 2

Probability = required outcome / Total possible outcomes

P(Anna first) = 1 / 7

Recall; this is a selection without replacement ;

P(Darlene second) = 1 / 6

1/7 * 1/ 6 = 1 / 42 = 0.0238

Find the value of x that makes A || B

HELPPPPP

Answers

Answer:

x = 90

Step-by-step explanation:

If lines A and B were parallel , then

∠ 1 and ∠ 4 are corresponding angles and congruent, so

3x - 160 = x + 20 ( subtract x from both sides )

2x - 160 = 20 ( add 160 to both sides )

2x = 180 ( divide both sides by 2 )

x = 90

asap help answer ---------

Answers

Answer:

[tex]C(n)=30-20n[/tex]

Step-by-step explanation:

Arithmetic sequence given in the question is,

10, -10, -30, -50........

Explicit formula of an Arithmetic sequence is given by,

[tex]C(n)=C(1)+(n-1)d[/tex]

Here, [tex]C_1=[/tex] First term

[tex]n=[/tex] number of terms

[tex]d=[/tex] common difference

From the given sequence,

[tex]C(1)=10[/tex]

[tex]d=-10-10[/tex]

  [tex]=-20[/tex]

Substitute the values in the formula,

[tex]C(n)=10+(n-1)(-20)[/tex]

[tex]C(n)=10-20n+20[/tex]

[tex]C(n)=30-20n[/tex]

Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia. Después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres. ¿Cuántos años cumplidos vivió Augusto?

Answers

Answer:

Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.

Step-by-step explanation:

Dado que Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia, y después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres, para determinar cuántos años cumplidos vivió Augusto se debe realizar el siguiente cálculo:

Nacimiento: 23/09/63 AC

Primer año: 23/09/62 AC

Tercer año: 23/09/60 AC

Sesenta y dos años: 23/09/01 AC

Sesenta y tres años: 23/09/01 DC

Setenta y tres años: 23/09/11 DC

Setenta y cinco años: 23/09/13 DC

Así, Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.

PLS HELP ASAP¡!!!

solve for f(3) if
f(x)=x^3+2x^2-x-1

Answers

f(3) = 3^3 + 2(3)^2 - 3 - 1
= 41

2/3 divided by 4/5? step by step requested

Answers

Answer:

5/6

Step-by-step explanation:

When dividing fractions, multiply by the reciprocal:

2/3 ÷ 4/5

2/3 x 5/4

Multiply the numerators and denominators by each other:

= 10/12

Simplify by dividing the numerator and denominator by 2:

= 5/6

The answer is 5/6

How much will it cost to fill up an empty 12-gallon take if gasoline costs $1.1599 per gallon

Answers

Answer:

13.9188 dollars

Step-by-step explanation:

1.1599 * 12 = 13.9188

Answer:

1 gallon fill = $1.1599

Step-by-step explanation:

we have to fill 12-gallons

Simple-Answer:

12 gallon  = 12 * $1.1599

12 gallon = $13.9188

I need help with question .

Answers

It would be the third one !!!!!!!!!

Answer:

14.8f + 1.8g + 12.1d

Step-by-step explanation:

combine like terms.

3.6+8.5= 12.1

6.2+8.6= 14.8

-2.7+4.5= 1.8

How do you upload more than one photo to a question? Also I need help with this problem...

Answers

Answer:

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Step-by-step explanation:

awpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawopawpqop24koq2opekwaopkeawop

How you get 9.8? from your equation?

Answers

Step-by-step explanation:

What equation are you talking about

line F has a slope of. -6/3 and line G has a slope of -8/4.
what can be determined about distinct lines F and G?

Answers

Given:

Slope of line F = [tex]-\dfrac{6}{3}[/tex]

Slope of line G = [tex]-\dfrac{8}{4}[/tex]

To find:

The conclusion about distinct lines F and G.

Solution:

We have,

Slope of line F = [tex]-\dfrac{6}{3}[/tex]

                        = [tex]-2[/tex]

Slope of line G = [tex]-\dfrac{8}{4}[/tex]

                        = [tex]-2[/tex]

The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.

Therefore, the line F and line G are parallel to each other.

If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?​

Answers

Step-by-step explanation:

If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?

so it's that

Question 14 (5 points)
Which of the following is equivalent to cos (23º)?
cos (90°)
sin (67°)
sin (23°)
cos (67°)

Answers

Answer:

Sin (67°)

Step-by-step explanation:

Cos (23°) = sin(90-23) = sin (67°)

Answered by GAUTHMATH

Help ASAP
Determine reflections (advanced)
Draw the line of reflection that reflects quadrilateral ABCD onto quadrilateral A'B'C'D'.

Answers

Answer:

Line that connects points (0,4) to (4,0)

Step-by-step explanation:

Just imagine where you should fold the paper to overlap one figure on another

Using the table below, what is the rate of change? Don't forget to include your units.
Number of sodas 24
28
32
36
Total Cost ($)
18
21
24
27

Answers

Answer:

0.75

Step-by-step explanation:

Given the table :

Number of sodas 24

28

32

36

Total Cost ($)

18

21

24

27

The rate of change :

Rate of change = Rise / Run

Rise = y2 - y1 ; Run = x2 - x1

From the table :

Take number of sodas as X - axis

Total cost as Y - axis

Taking the points :

(24, 18) ;(36, 27)

x1 = 24 ; x2 = 36

y1 = 18 ; y2 = 27

Rise = (y2 - y1) = (27 - 18) = 9

Run = (x2 - x1) = (36 - 24) = 12

Rate of change = 9 / 12 = 0.75

What is the degree of this polynomial? 5y2 + y +1
O A. 5
O B. 1
O C. 3
O D. 2

Answers

Answer:

Option D is correct

Step-by-step explanation:

In the above polynomial, 2 is degree of polynomial because the highest degree of polynomial is 2.

Hope it is helpful....
D is the right answer for sure his math look looks correct


Drag each expression to the correct category.
Apply the produc rules to determine the sign of each expression.

Answers

[tex]( - \frac{4}{9} )( \frac{7}{4} ) = \: \: negative [/tex]

[tex]( - 2 \frac{3}{4} )( - 1 \frac{1}{5} ) = \: \: positive[/tex]

[tex](3)( - 3)( - 3)( - 3)( - 3) = \: \: positive[/tex]

[tex]( - \frac{1}{6} )( - 2)( - \frac{3}{5} )( - 9) = \: \: positive[/tex]

[tex]( - \frac{4}{7} )( - \frac{3}{5} )( - 9) = \: \: negative[/tex]

[tex]( - \frac{10}{7} )( \frac{8}{3} ) = \: \: negative[/tex]

Given f(x) = 19x + 12 , find f(3)
F(3)= ?

Answers

Answer:

69

Step-by-step explanation:

to find f(3), we'll have to substitute x with 3

therefore,

f(3) = 19 × 3 + 12

= 57 + 12

= 69

Answer:

f ( 3 ) = 69

Step-by-step explanation:

Given :-

f ( x ) = 19x + 12.

To find :- f ( 3 ) = ?

Solution :-

f ( x ) = 19x + 12.

Substitute as the 3 as x

f ( 3 ) = 19 ( 3 ) + 12

Multiply ; 19 × 3

f ( 3 ) = 57 + 12

Add 57 and 12

f ( 3 ) = 69

Which operation will solve the following word problem? Jeff earns $14.00 per hour, Tom earns half as much as Jeff. How much does Tom earn per hour?


Multiplication


Subtraction


Addition


Division

Answers

Answer:

Tom earns $7.00 per hour

Its Subtraction
………………………….


















.
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