Question

Evaluate : sin25°cos65°+cos25°sin65°

Answer 1

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Here's your answer

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To evaluate of : sin25° cos65° + cos25° sin65°

Now ,

sin25° cos65° + cos25° sin65°

= sin25° cos ( 90° - 25° ) + cos25° sin ( 90° - 25° )

[ • As we know , cos ( 90° - θ ) = sinθ and sin ( 90° - θ ) = cosθ ]

= sin25° sin25° + cos25° cos25°

= sin²25° + cos²25°

= 1

[ • We know , sin²θ + cos²θ = 1 ]

So , the required answer is 1.

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