Question

sin theta cos (90° - theta) + cos theta sin (90° - theta) = ?
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Answer 1

Answer:

1

Step-by-step explanation:

cos(90-theta) = cos2 theta

sin(90-theta) =cos2theta

Replace them

And after replacing put this identity

Sin2theta + Cos2theta =1

Answer 2

sin theta cos(90°-theta) + cos theta sin (90°-theta) = ?

As we know that cos (90°-theta) = sin theta

and sin (90°-theta ) = cos theta

so,

sin theta sin theta + cos theta cos theta = ?

sin^2 theta + cos^2 theta = ?

according to trigonometric identities

sin^2 theta + cos^2 theta = 1

so answer of this question is 1

Hope it will help you as much as you as want