Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15

Select The Correct Answer.Consider This Equation.cos(8) = -If 8 Is An Angle In Quadrant II, What Is The

Answers

Answer 1

Using trigonometric identities, it is found that the value of the tangent of the angle is given by:

B. [tex]-\frac{\sqrt{15}}{7}[/tex]

What is the tangent of an angle?

The tangent of an angle is given by it's sine divided by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, we have that:

[tex]\cos{\theta} = -\frac{7}{8}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]

[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]

[tex]\sin^2{\theta} = \frac{15}{64}[/tex]

[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]

Since it is on the second quadrant, it is positive, hence:

[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]

Applying the tangent equation:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]

[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]

More can be learned about trigonometric identities at https://brainly.com/question/22591162


Related Questions

The sun shines on a 40ft tall building at an angle of depression of 62 degrees. How long is the shadow formed?

A. 21.2ft
B. 75.2ft
C. 45.3ft
D. 85.2

Answers

The shadow formed a 45.3ftttt

PLEASE HELP ASAP WILL GIVE BRAINLEAST TO CORRECT ANSWER

Answers

Answer:

B Increase: 1, 6

B Decrease: 2, 5

Step-by-step explanation:

Brainliest plz ;)

After 2.5 years your investment account has earned $450 in interest. If the interest rate is 7.5% what was the principle on your account?

Answers

Answer: $2400

Step-by-step explanation:

Given

Interest earned is $450

The rate of interest is R=7.5%

Time period T=2.5 years

Simple Interest is given by

[tex]S.I.=\dfrac{P\times R\timesT}{100}\quad [\text{P=Principal}][/tex]

Substitute values

[tex]450=\dfrac{P\times 7.5\times2.5}{100}\\\\P=\dfrac{450\times 100}{7.5\times 2.5}=\$2400[/tex]

What divided by 20 equals 0.6

Answers

Answer:

12

Step-by-step explanation:

Let's represent the problem by X / 20 = 0.6, where X is the number we're looking for. Therefore, if we multiply both sides of the equation by 20, we'll get X, which is 12.

Answer:

12

Step-by-step explanation:

12 divided by 20 equals 0.6

A 4 pound force acting in the direction of (4,-2) moves an object just over 7 ft from point (0,4) to point (5,-1). Find the work done to move the object to the nearest foot-pound

Answers

Answer:

[tex]W=59.7408J[/tex]

Step-by-step explanation:

From the question we are told that:

Force [tex]f=4N[/tex]

Force Direction [tex]\arrow (4,-2)[/tex]

Distance traveled [tex]d_t=7ft \aprrox\ 2.1336m[/tex]

Distance traveled Direction point (0,4) to point (5,-1)

 

Generally the equation for work done is mathematically given by

 [tex]W=force*distance[/tex]

 [tex]W=f*d_t\\W=4*7*2.1336[/tex]

 [tex]W=59.7408J[/tex]

A circle is centered at the point (-7,-1) and passes through the point (8, 7). The radius of the circle is ___ units. The point (-15, __ ) lies on this circle

Answers

Answer:

(x + 7)2 + (y + 1)2 = r2.

To get we use point (8, 7): (8 + 7)2 + (7 + 1)2 = r2, r2 = 225 + 64 = 289 = 172.

So, equation of circle: (x + 7)2 + (y + 1)2 = 289

Step-by-step explanation:

please answer the math question, I will give brainlie'st to the first to answer correctly and has a very easy to understand layout for the answer. Please explain how you figured it out.
15 + 4(10 - 2 · 5) + 7 =

7
22
182
767

Answers

Answer: 52

15 + 4 (10 - 2 × 5) + 7

15 + 4×(10 - 10) + 7

15 + 0 + 7

= 22

...sorry i thought it was a decimal between 2 and 5

Answer:

22

Step-by-step explanation:

15+4(10-2×5)+7

15+4(10-10)+7

15+4×0+7

15+0+7

15+7

22

The ratio of melanie's allowance to jacob's allowance is 4.1 to 20.5. If Jacob gets $5.00,how much allowance does melanie get?

Answers

Answer:

1.00

Step-by-step explanation:

x=(5*4.1)20.5

x=1

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE U BRAIN THING IF ITS CORRECT AND IT SAYS WRITE YOUR REASON AS A DECIMAL SO PWEASE DO THAT

Answers

Answer:

0.244

Step-by-step explanation:

1.22÷5

Expand 1.22/5 by multiplying both numerator and the denominator by 100.

122/500

Reduce the fraction 122/500 to lowest terms by extracting and canceling out 2.

61/250

Convert to decimal form.

0.244

The sum of the ages of my 3 children is 45 years.
If their ages are consecutive odd integers,
how many years old is my oldest child?
A) 17
B)19
C) 21
D) 23

Answers

I think A, but im not 100% sure

How many times greater is the value of the 6 in 618,923 than the 6 in 27.652

Answers

600,000 there



- helaaaa

The value of 6 in  618,923 is 1,000,000 or 1 million times greater than that of 6 in 27.652.

What is Place Value?

Place value of a digit in a number is defined as the value of that digit according to the position where it stands.

Place value of a whole number of digits from right to left can be expressed as ones, tens, hundreds, thousand, etc.

Place value of a decimal number after the decimal point from left to right can be expressed as tenths, hundredths, thousandths, etc.

The given numbers are 618,923 and 27.652.

Place value of 6 in 618,923 = 6 × 100,000

That is 6 hundred thousands is the place value.

Place value of 6 in 27.652 = 6 × 1/10 = 6 × 10⁻¹

This is at the tenth place.

6 × 100,000  = 6 × 10⁻¹ × 1,000,000

So 6 × 100,000  is 1,000,000 times greater than 6 × 10⁻¹.

Hence the value of 6 in 618,923 is 1,000,000 times greater than the 6 in 27.652.

Learn more about Place Values here :

https://brainly.com/question/27734142

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You and your friend each have a canvas of the same size. You divide your canvas into 5 sections and paint 3 of them. Your friend divides her canvas into 7 sections and paints 4 of them. Who paints more?

Answers

The one one paints 3/5, you would find a common denominator and it would be 21/35 and 20/35 so “you”

The person who paints more is given by the inequality equation 3/5 >  4/7

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the number of canvas be 35 ( LCM of 5 and 7 )

Now , when you divide 35 into 5 sections and paints 3 of them ,

The fraction A = 3/5

And , when your friend divide 35 into 7 sections and paints 4 of them

The fraction B = 4/7

And , the inequality equation is A > B

Substituting the values in the equation , we get

3/5 > 4/7

Hence , the one who paints more is you with 3/5 of the canvas

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Translate to figure 2 units left and four units down

Answers

(-3,0), (0,-1), (-3,-5), (1,4)

Whats the area of a circle with a circumference of \blueD{50.24}50.24start color #11accd, 50, point, 24, end color #11accd units.

Answers

Answer:

[tex]A=200.96\ unit^2[/tex]

Step-by-step explanation:

Given that,

The circumference of the circle, C = 50.24 units

We need to find the area of the circle.

The formula for the circumference of the circle is given by :

[tex]C=2\pi r[/tex]

r is the radius of the circle

[tex]r=\dfrac{C}{2\pi}\\\\r=\dfrac{50.24}{2\times 3.14}\\\\r=8\ units[/tex]

The formula for the area of a circle is given by :

[tex]A=\pi r^2\\\\A=3.14\times 8^2\\A=200.96\ unit^2[/tex]

So, the area of the circle is equal to [tex]200.96\ unit^2[/tex].

Simplify the following expression by combining like terms: *
-2g - 8 +5g - 5

Answers

Answer:

3g -13

Step-by-step explanation:

Figure 1 is dilated to get Figure 2.

What is the scale factor?

Answers

Answer:

2/3

Step-by-step explanation:

6/9 in simplest form is 2/3. That's the scale factor :)

The number of eggs in the refrigerator e decreased by 3 equals 15.

Answers

Answer:

e - 3 = 15

or if you're looking for the answer to the problem

18

Step-by-step explanation:

What is the absolute value equation below:
|x|=7∣

Answers

THE ANSWER IS 7 because i did the math

45 minutes ago
Share
Background
Layout
Theme
Transition
4.
P:
Caleb invests $10,000 in a savings
account that pays 3% simple interest.
How many years will it take the account
to grow to $12,700, if he does not make
any withdrawals or deposits?
A 7 years
B 12 years
C 9 years
22 years
r:
t:
D
k to add speaker notes

Answers

Answer:

876889068

Step-by-step explanation:

Cards numbered 1 to 10 are placed on a table. Find probability of selecting (a) a composite number (b) a square number (c) a prime number (d) a triangular number (e) an even number.​

PLEASE HELP ME I WILL MARK YOU THE BRAINLIEST

Answers

A. 1/2
B. 3/10
C. 2/5
D.2/5
E. 1/2

Change this fraction into a decimal: 80/100

.8


.08


8.0

.008




will give brainlist!!!

Answers

Answer:

0.8

Step-by-step explanation:

80 divided by 100 = .8 or 0.8

Write the expression of the quotient of 44 and 11

Answers

I think it would be
ANSWER: x = 44/11

Quickly answer, I only have a few minutes left!!!!

Answers

Answer:

3) x=11

4) x=65 degrees

I can explain more if you need but since you need it quick basically theyre just the same as the other side since its a 90 degree angle and the line is going through the center

Answer: x is 11 and 65 like they said

Step-by-step explanation:

3. How would you explain to someone who has not yet studied trigonometry the
difference between an identity and an equation?

Answers

Answer:

Solving an equation means finding the value or values for which the two expressions are equal. ... An identity is an equation which is always true, no matter what values are substituted.

What is the difference between trigonometric identity and equation?

A trig identity is an equation that is true for all values of x;

For example:

sin²x + cos²x will always equal 1 no matter what the value of x.

There are some equations considered to be identities that are in fact not true all the time.

tan(2x) = 2tanx/(1 - tan²x) is not true when x = π/2 (right side is undefined).

A conditional equation is one that is true for a subset of the real numbers, i.e. for certain values of x, but not all.

For example:

sin²x - 1 = 0 is only true for some values of x.

sin²x = 1

sinx = ±√(1) = ±1

sinx = 1 or sinx = -1

x = sin-11 or x = sin-1(-1)

x = π/2 + 2kπ, k any integer or x = 3π/2 + 2kπ, k any integer (this can be condensed, but left this way for emphasis).

To learn more about trigonometric identities and equations refer to:

https://brainly.com/question/23058478

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Whats the slope using Rise/Run?
Thanks

Answers

Answer: 1/4

Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4

Hope this helps!

4x + 21 < 17
PLS HELP ME MATES <3

Answers

Answer:

x < -1

Step-by-step explanation:

Give Brainllest plz mate

Answer:

x < -1

Step-by-step explanation:

subtract 21 from 17

divide on both sides by 4

sorry if this isn't what you're asking

HELPPP ASAP 10 POINTS

Answers

Answer:

43 degrees

Step-by-step explanation:

The two angles are supplementry because they form a 90 degree angle so you would subtract 47 from 90 to get 43 degrees.

Answer: 43

Step-by-step explanation: 47+ 43 = 90.  since x is a vertical angle it is 43.

Find x in the following ,giving reasons​

Answers

Answer:

x = 22.5

Step-by-step explanation:

→ Remember how many degrees the point to a radius is

90°

→ Set up an equation

x + 3x = 90

→ Simplify

4x = 90

→ Divide both sides by 4

x = 22.5

Scuba diver dives at a rate of 20 ft./min. If the diver starts at the surface what is the depth of the diver after 4 minute

Answers

Answer:

80 ft

Step-by-step explanation:

Distance = rate x time. Therefore, 20 ft / min x 4 min = 80 ft.

a box of 24 frozen waffles is $4.77. what is the price per waffle?

Answers

Answer:

siudsckjznc

Step-by-step explanation:

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