Question

answer the 19 question

Answer 1

Hii friend,

✓1+Cos theta/ 1 - cos theta = Cosec theta + Cot theta.

We have,

LHS = ✓1+Cos theta/1-Cos theta.

Rationalizing the denominator.

=> ✓1+Cos theta/ ✓1-Cos theta × ✓1+Cos theta/✓1+Cos theta

=> 1+Cos theta/✓1- Cos² theta

=> 1+ Sin theta/Sin theta [ 1-Cos²theta = Sin theta]

=> 1/Sin theta + Cos theta/Sin theta

=> Cosec theta+Cot theta = RHS.

Hence,

LHS = RHS..... PROVED....

HOPE IT WILL HELP YOU........ :-)