Question

Evaluate : (i) sin 15° cos 75° + cos 15° sin 75°.


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Answer 1

Answer:

we get: sin15∘cos75∘+cos15∘sin75∘ = sin(15∘+75∘). Thus: sin15∘cos75∘+cos15∘sin75∘ = sin(90∘) = 1.

Answer 2

Answer:

sin 15° cos 75° + cos 15° sin 75 °

sin ( 90 - 75 ) cos 75 + cos ( 90 - 75 ) sin 75

cos 75 cos 75 + sin 75 sin 75

cos^2 75 + sin^2 75

( sin2 + cos2 = 1 )

therefore,

cos^2 75 + sin^ 2 75 = 1

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