Question

Write the value of sin A cos (90° − A) + cos A sin (90° − A).

Answer 1

Answer:

The value of sin A cos (90° − A) + cos A sin (90° − A) is 1.

Step-by-step explanation:

Given : sin A cos (90° − A) + cos A sin (90° − A).

= sin A sin A + cos A cos A

[By using , cos (90°- θ ) =  sin θ , sin (90°- θ ) =  cosθ ]

= sin² A + cos² A

= 1

[By using the identity , sin² θ + cos² θ = 1]

sin A cos (90° − A) + cos A sin (90° − A) = 1  

Hence, the value of sin A cos (90° − A) + cos A sin (90° − A) is 1.

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Answer 2

sin A cos (90-A) + cos A sin (90-A)

sin A sin A + cos A cos A

sin²A + cos² A

1