answer the 19 question
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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........ :-)
✓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........ :-)
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