If cos (90°-A)=0, then Sin (A+B)=
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Given : cos (90° - A) = 0
To find : sin (A + B)
Solution :
cos (90° - A) = 0
Use formula cos(90°- A) = sin A
>>> sin A = 0 --- Eqn(1)
We have to find sin ( A + B )
We have an identity,
- sin ( A + B ) = sin A.cos B + cos A. sin B
From Eqn(1) substitute sin A = 0
>>> sin (A + B) = 0 (cos B) + cos A. sin B
>>> sin (A + B) = cos A. sin B
∴ The required answer is cos A. sin B.
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