Question

Verify the identity: [(cos2 theta/sin theta)+2sin theta]=csc theta

Answer 1

Use formula cos2theta = cos^2theta - sin^2 theta

Answer 2

\[\cos2\theta=1-2\sin^2\theta \]\[(1-\sin^2\theta)-\sin^2\theta/2\sin \theta \]
\[1-2\sin^2\theta/\sin \theta +2\sin \theta =1/\sin \theta \] \[1-2\sin^\theta+2\sin^\theta/\sin \theta \]

Answer 3

That was helpful, thank you both! @Abmon98 @tgawade

Answer 4

Your most Welcome :)