Question

Evaluate 1) sin 25°cos 65°+ cos 25° sin65°​

Answer 1

Answer:

1

Step-by-step explanation:

sin25°cos65°+cos25°sin65°

sin25°sin(90°-25°)+cos25°sin(90°-25°)

sin25°sin25°+cos25°cos25°

$\sin( {25}^{2} ) + \cos( {25}^{2} ) = 1$

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Answer 2

Step-by-step explanation:

sin 25°. sin(90-25)° + cos 25°.cos(90- 25°)

sin 25° . sin 25° + cos 25°. cos 25°

sin²25° + cos²25°

=1

[sin A .cos B + cos A.sin B]

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