Question

if tan theta = a/b, prove that asin 2theta +bcos 2theta =b​

Answer 1

Answer:

tan theta=a/b

sin theta/cos theta=a/b

b.sin theta = a.cos theta

asin2theta + bcos 2theta=

a.2sintheta.costheta + b(2cos^2theta - 1)

2(sin theta.bsin theta) + 2bcos^2theta - ,b

2.b.sin^2theta + 2.b.cos^2theta - b

2b(sin^2theta + cos^2theta) - b

2b - b = b=RHS