1.

Prove the following : 8sin^4(1/2theta)-8sin^2(1/2theta)+1=cos2theta

Answer»

SOLUTION :R.H.S. = `cos2theta=1-2SIN^2theta`
=`1-2xx(2sin(theta/2)COS(theta/2))^2`
`1-8sin^2(theta/2)cos^2(theta/2)`
`1-8sin^2(theta/2)(1-sin^2(theta/2))`
`1-8sin^2(theta/2)+8sin^4(theta/2)` = L.H.S.


Discussion

No Comment Found

Related InterviewSolutions