All categories

2 years ago

Find the value of cos 28°cos 62°– sin 28°sin 62°

Mathematics

1 answer:

Romashka [77]2 years ago

8 0

<h2>Answer:</h2>

cos 28°cos 62°– sin 28°sin 62° = 0

<h2>Step-by-step explanation:</h2>

From one of the trigonometric identities stated as follows;

cos(A+B) = cosAcosB - sinAsinB -----------------(i)

We can apply such identity to solve the given expression.

Given:

cos 28°cos 62°– sin 28°sin 62°

Comparing the given expression with the right hand side of equation (i), we see that;

A = 28°

B = 62°

∴ Substitute these values into equation (i) to have;

⇒ cos(28°+62°) = cos28°cos62° - sin28°sin62°

Solve the left hand side.

⇒ cos(90°) = cos28°cos62° - sin28°sin62°

⇒ 0 = cos28°cos62° - sin28°sin62° (since cos 90° = 0)

Therefore,

cos28°cos62° - sin28°sin62° = 0

You might be interested in

The perimeter of a rectangular field is 100 feet. Which *COULD NOT* be the length and width of the perimeter?

Rina8888 [55]

Answer:

D) L=50 W=50

Step-by-step explanation:

Just "plug and chug" these numbers and see which doesn't work.

A is not it, 20+30=50 (then *2 because we need 4 sides not just 2) 50*2=100

B isn't it, 10+40=50*2=100

C ain't it either 49+1=50*2=100

D is the answer 50+50=100*2=200

7 0

3 years ago

What is the slope of the line that passes through (-2, 5) and (3, 9)?

Naya [18.7K]

Answer: 4/5

Step-by-step explanation:

1. you need to know the formula which is m = y2-y1/x2-x1

2. you plug in the numbers which would be 9-5/3-(-2)

3. you get your answer as 4/5

4. the answer is 4/5

3 0

3 years ago

Read 2 more answers

What is the length of the hypotenuse of the triangle below?

Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

So here we have a 45-45-90 triangle.

This a special right triangle were the sides across from the 45 degree angles can be considered x, while the hypotenuse is two square roots of x.

Here since we have the sides across from the 45 degree angle we can conclude that $x = 9\sqrt{2}$

So if we wanted the hypotenuse we would just plug in this value of x like so:

$hyp = x\sqrt{2} \\$

$hyp = (9\sqrt{2})(\sqrt{2})$

$hyp = 9(2)\\$

$hyp = 18$

Therefore the hypotenuse is 18.

3 0

3 years ago

-4/9x-5/72x+1/8x= -56 please help me guys

geniusboy [140]

Answer:

$x=144$

Step-by-step explanation:

Therefore, $x=144$ should be your final answer.

3 0

2 years ago

What is the answer needdd it

Naddik [55]

I think it would be b or c

3 0

3 years ago

Find the value of cos 28°​cos 62°​– sin 28°​sin 62°​

Find the value of cos 28°cos 62°– sin 28°sin 62°