Question

Find the value of cos(90-27) ×sin 27

Answer 1

Answer:

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Answer 2

The value of cos (90° -27° ) × sin 27° = 1.8708

Step-by-step explanation:

Given data

Find the value of cos (90° - 27° ) × sin 27°

In the given expression , cos (90° - 27° ) is similar to cos ( A - B )

The formula for cos ( A -B ) = cos A cos B + sin A sin B

Here A = 90° and B = 27°

Then cos (90° - 27° ) = (cos 90° cos 27° + sin 90° sin 27° ) ------> (1)

= cos (90° - 27° ) × sin 27°

Substitute equation (1) in above equation

= (cos 90° cos 27° + sin 90° sin 27° ) ×sin 27°

Where cos 90° = 0

           cos 27° = - 0.2921

           sin 90° =  1

          sin 27° =  0.9563

= ( (0 × - (0.2921) ) + ( 1 + 0.9563 ) ) × 0.9563

= ((0) + (1.9563) × 0.9563

= 1.9563×  0.9563

= 1.8708

Therefore the value of the expression cos (90° -27° ) × sin 27° is equal to  1.8708

To Learn More ...

1.  https://brainly.in/question/12110169

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