(1 + sin x)(1 – sin x) = cos^2x

Answers

Answer 1

Answer:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

cos^2x = cos^2x

Step-by-step explanation:

Simplify the left hand side:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

Using the Pythagorean Identity, we can see that the two sides are equivalent if you subtract sin^2x from both sides:

sin^2x + cos^2x = 1

cos^2x = 1 - sin^2x

Lastly, write it out:

(1 + sin x)(1 – sin x) = cos^2x

1 - sin^2x = cos^2x

cos^2x = cos^2x


Related Questions

What is the value of d?
A.100 B.84 C.50 D.80

Answers

Answer:

A. 100

Step-by-step explanation:

84

Step-by-step explanation:

c + 100 =180

c=180-100

c=80

100+96+d+c=360

100+96+d+80=360

276+d=360

d=360-276

d=84

Team members Corinne, Kevin, and Tomas decide to share the cost
of 2 motor controllers and 4 wheels equally. How much does each
member need to contribute?
Please help(write step by step and upload pic or do it here please I appreciate it so much !

Answers

Answer:

each member needs to put in 91.70 dollars in.

Step-by-step explanation:

you add the costs of all the tools needed. in this case the two controllers and wheels which adds up to 275.1.

then you divide by the amount of people which is three. so 275.1/3 and you get 91.7

If the volume of a sphere is 36t cubic units, what is the radius?

Answers

Answer:

Volume of sphere = 4/3 * π * r³

Since 36π = 4/3 * π * r³, r³ = 27 and r = 3.

Step-by-step explanation:

work out the area of a circle with a diameter of 1.8

Answers

The area of a circle is calculated by doing πr^2.

The radius (r) is half of the diameter.

So you do 1.8/2=0.9.

Then π x 0.9^2.

The answer is 2.54469004941.

Round this to your needed decimal place. If there is none, I would round to two decimal places so the answer would be 2.54.

Cual de las siguientes fracciones es equivalente a 6/18
1/3

2/3

3/18

3/6

Answers

Answer:

the answer is going to be 1/3

1/3 is the correct answer

According to Class 8 please solve

Answers

Answer:

a) Rs 22

b) 4 liter

hope it helps

Answer:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

Step-by-step explanation:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

11/2 litre = 5.5 litre

RS 121/2 = 60.5

5.5 litre milk = Rs 60.5

(i) 1 lire milk = 60.5/5.5 = 11

(i)  1 litre milk rate is Rs 11

(ii) 1 litre  = Rs 11      , Rs 88 = 88/11 litre        , 8 litre

(i) part answer   = Rs 11

(ii) part Answer = 8 litre milk

An opposition paragraph in an Argumentative Essay identifies and defends against ideas or arguments that might go against your argument (as a defense). True or false​

Answers

Answer:  

a        

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Because the ops are always trying to oppose things, so you show them why they're wrong.

Find the rate of change for the function of change from x=-3 to x=1

Answers

Answer:

She's, "HOT"!

Step-by-step explanation:

How do you get 24 with the numbers 6, 5, 4 and 8

Answers

Step-by-step explanation:

hoped this will help you

if that's help you plz vote me or mask as brinalist

Ben uses a compass and a straightedige to bisect angle PQR, as shown below.
B
Wie statement beste wy Ben uses the cate with to draw Som there?

Answers

Answer:

The answer is <AQS = BQS when AS=BQ and AQ=BQ

Step-by-step explanation:

HELP!!!! THANK YOU ...........

Answers

Answer:

Using trigonometric ratio

sin(0)=opposite/hypotenise

sin(A)=BC/BA

sin(A)= 6/7

A=arcsin(6/7)

A=58.997°

A=59.00°

----------------------

Hope it helps...

Have a great day!!!

The answer 59° rounded using the sine ratio opposite/hypotenuse

what is the solution to 4 1/5 x (1 1/9 x 3)

Answers

Answer:

14

Step-by-step explanation:

[tex]4 \frac{1}{5} \times (1 \frac{1}{9} \times 3) \\\\= \frac{21}{5} \times ( \frac{10}{9} \times 3)\\\\=\frac{21}{5} \times( \frac{10}{3})\\\\= \frac{21 \times 10}{ 5 \times 3}\\\\=7 \times 2 \\\\= 14[/tex]

Let the universal set U = {weekdays}. If T = {Tuesday, Thursday}, what is T'?

Answers

Answer:Monday, Wednesday and Friday.

Step-by-step explanation:

It’s the other weekdays.

The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?

a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero

A. (x, −x2 − 2x + 8) for all real numbers
B. (−4, 0), (−1, 9), (0, 8), (2, 0)
C. (−4, 0), (2, 0)
D. (x, y) for all real numbers

Answers

Answer: C. (−4, 0), (2, 0)

Step-by-step explanation:

By solution, I believe it means the roots of the equation(aka zeros), meaning the points where the graph intersects the x-axis(aka x-intercepts). It intersects at two points: (−4, 0) and (2, 0)

Answer:

A) (x, −x2 − 2x + 8) for all real numbers

Step-by-step explanation:

I got it right on my 8.06 exam! ✨ Keep believing, superstar!

and go see Sing 2 for me..its an awesome movie and it'll make u smile!

question 3 help pls in algebra

Answers

Answer:

50

Step-by-step explanation:

simplify the radical by breaking the redicand up into a product of known factors, assuming positive real numbers.

Find the domain of the following piecewise function.


Answers

Answer:

[tex](2,8][/tex]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

[tex]2 < x < 4[/tex]     [tex]4 < x < 8[/tex]   and   [tex]x \ge 8[/tex]

Combine the first two inequalities:

[tex]2 < x < 8[/tex]    and   [tex]x \ge 8[/tex]

For the inequality to be true, we must have:

[tex]2 < x \le 8[/tex]

In interval notation, the inequality is:

[tex](2,8][/tex]

please answer i will give u brainless PLZZZZZZ

Answers

Answer:

96 green pens

Step-by-step explanation:

Super simple. You do: 14x+15x+24x=212 which is 53x = 212 and x=4

Green = 4*24=96

Mark and John share the cost of a birthday gift. The cost of the gift is $20.48. Mark pays for 2/3 of the gift and John pays for the remaining 1/3. How much did each boy pay?

Answers

Given:

Cost of gift = $20.48

Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift and John pays for the remaining [tex]\dfrac{1}{3}[/tex].

To find:

The amount paid by each boy.

Solution:

We have,

Cost of gift = $20.48

Mark pays for [tex]\dfrac{2}{3}[/tex] of the gift. So, the amount paid by Mark is:

[tex]20.48\times \dfrac{2}{3}\approx 13.653[/tex]

John pays for the remaining [tex]\dfrac{1}{3}[/tex]. So, the amount paid by John is:

[tex]20.48\times \dfrac{1}{3}\approx 6.827[/tex]

Therefore, the amount paid by Mark and John are $13.653 and $6.827 respectively.

x + y = 15
5x - y = 9
Elimination method

(4, ? )

what number is the ?​

Answers

The ? Is 11.


You add the equations to get rid of one variable, then you have 6x=24 then you divide both sides and you have x=4, then you substitute the given value of x and you are left with 5*4 - y = 9. And the solution or well possible solution is y = 11 which gives youuuuu. (x , y) = (4 , 11)
4 + y = 15....1
20 - y = 9.....2

....1*5
20 + 5y = 75....3

....3 - .....2
4y = 60
y = 15

the answer for (?) is 15
i’m not sure if this 100% correct but i’m trying my best to help you

Please help me!
Look at this diagram.

Answers

Answer:

if you look at carefully the left triangle has two same side. so left-angle of C is 180-130=50 degree 5x+5x+50=180 x=13 degree

Step-by-step explanation:

for right triangle again one angle is 50 degree and other is 6*13-(3)=75 degree so 75+50+(10y+5)=180 degree y=5 degree

Answer:

[tex]x=13\text{ and } y=5[/tex]

Step-by-step explanation:

First, notice that ∠BCD and ∠DCE form a linear pair. Linear pairs sum to 180°. Therefore:

[tex]m\angle BCD + m\angle DCE = 180[/tex]

And since we know that ∠BCD measures 130°:

[tex]m\angle DCE = 180-130=50^\circ[/tex]

And since ∠DCE and ∠BCA are vertical angles:

[tex]\displaystyle \angle DCE \cong \angle BCA[/tex]

Therefore, by definition:

[tex]m\angle DCE = m\angle BCA = 50^\circ[/tex]

Looking at the left triangle, we can see that BC and AC both have one tick mark. This means that they are congruent. Therefore, ΔABC is an isosceles triangle. The two base angles of an isosceles triangle are congruent. Hence:

[tex]m\angle A = m\angle B[/tex]

The interior angles of a triangle must total 180°. So:

[tex]m\angle A + m\angle B +m\angle BCA = 180[/tex]

Substitute in known values:

[tex]m\angle A + m\angle A+ (50)=180[/tex]

Simplify:

[tex]2m\angle A=130[/tex]

Divide both sides by two:

[tex]m\angle A = 65[/tex]

Substitute:

[tex](5x)=65[/tex]

Therefore:

[tex]x=13[/tex]

Similarly, for the triangle on the right, we can write that:

[tex]m\angle D + m\angle E + m\angle DCE = 180[/tex]

Substitute:

[tex](10y+5)+(6x-3)+(50)=180[/tex]

Combine like terms:

[tex]10y+6x+52=180[/tex]

Since we determined that x = 13:

[tex]10y+6(13)+52=180[/tex]

Simplify:

[tex]10y+130=180[/tex]

Therefore:

[tex]10y=50[/tex]

And by dividing both sides by 10:

[tex]y=5[/tex]

Figure A is a scale image of Figure B. What is the value of x?

khan academy

Answers

Answer:

maybe 12 because

Step-by-step explanation:

30/25=1.2

10×1.2=12

what is the solution to -6 - -25=

Answers

Answer:

19

Step-by-step explanation:

(-6)-(-25)=(-6) +25 = 19

19


-6 - -25= 19
(6-25=19)

How much fudge will each person get if 7 people share one half of a pound of fudge equally? Ow much fudge will each person get if 7 people share one half of a pound of fudge equally? Use the number line to help you. (2 points) A number line showing zero to one divided into two equal parts. Each part is divided into seven equal parts. Select one: a. One ninth pound of fudge b. One fourteenth pound of fudge c. One fifth pound of fudge

Answers

Answer:

B

Step-by-step explanation:

one half lb divided by 7 people will equal one fourteenth

It’s answer B I’ve did the math and the guy above me is rig he

I have no idea how to do this, it is due in two days. Hopefully someone sees this before then.

Answers

Hello,

[tex]m\ \widehat{ABC}=x\\m\ \widehat{BAC}=2*x\\\\So:\\ x+2x=90^o\\x=30^o\\[/tex]

[tex]cos(30^o)=\dfrac{\sqrt{3} }{2} \\[/tex]

In the triangle ABC,

[tex]cos(30^o)=\frac{BC}{BA} \\\\BA=\dfrac{cos(30^o)}{BC} \\\\BA=\frac{\dfrac{\sqrt{3} }{2} }{24} =16*\sqrt{3} \\\\[/tex]

[tex]sin(30^o)=\dfrac{1 }{2} =\dfrac{AC}{AB} \\\\AC=\dfrac{1}{2} *16\sqrt{3} =8\sqrt{3}[/tex]

In the triangle ACB,

[tex]cos(30^o)=\dfrac{AC}{AL} \\\\AL=\dfrac{8\sqrt{3} *2}{\sqrt{3} } =16\\[/tex]

[tex]\text{Solve for 'x'.}\\\\x^2-25=0\\\\\text{Thank you.}[/tex]

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = \pm 5[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\x^2-25 = 0\\-------------\\\rightarrow x^2 -25 + 25 = 0 + 25\\\\\rightarrow x^2 = 25\\\\\rightarrow \sqrt{x^2}=\sqrt{25}\\\\\rightarrow \boxed{x = \pm 5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]x = 5 \: \: \: or \: \: \: x = - 5[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 25 = 0 \\ {x}^{2} - {5}^{2} \\ ( x - 5)(x + 5) = 0 \\ \\ x - 5 = 0 \\ x = 5 \\ or \\ x + 5 = 0 \\ x = - 5[/tex]

A rectangular floor of area 360 m2 is going to be tiled. Each tile is rectangular, and has an area of 240 cm2. An exact number of tiles can be put into the space. How many tiles will be... Solve quickly​

Answers

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

What is the number of outcomes in the sample space tossing a coin and spinning a spinner with 8 equal sections?

Answers

Answer:

16

Step-by-step explanation:

Describe fully the transformation that maps triangle a onto triangle B

Answers

Answer:

The transformation that maps Triangle A onto Triangle B is a reflection of Triangle A across the axis "y=-1".

Step-by-step explanation:

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

Given are two triangles A, we need to determine the transformation performed to get the image of triangle A, i.e., triangle B.

The coordinates of the triangle A are:
(1, -5), (1, -2) and (3, -2)

The coordinates of the triangle B are:

(1, 3), (1, 0) and (3, 0)

By comparing the corresponding vertices, we can observe that the x-coordinates remain the same while the y-coordinates change.

The transformation that maps triangle A to triangle B is a reflection over the line y = -1.

This reflection flips the triangle across the line, resulting in the change of sign for the y-coordinates while leaving the x-coordinates unchanged.

Hence the transformation performed to obtain triangle B from triangle A is a reflection over the line y = -1.

Learn more about Reflection click;

https://brainly.com/question/15487308

#SPJ4

A red die is tossed and then a green die
is tossed. What is the probability that
the red die shows a six or the green die
shows a six?

Answers

Answer:

2/12

Step-by-step explanation:

The answer is 2/12 because there are two dice, each with 6 sides and the probability on each dice is one sixth

. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).

Answers

Answer:

wait what

Step-by-step explanation:

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