Question

Prove the following:
✓1+ cos x/ 1- cos x = cosec x + cot x

Answer 1

FIRSTLY RATIONALISE LEFT HAND SIDE TERM, i.e.,multiply Numerator and denominator by numerator in this case.
You will find, ✔️(1+cos x) (1+cos x) /(1-cos x) (1+cos x) =✔️(1+cos x) (1+cos x) /(1-cos square x) =(1+cos x) /✔️sin square x =(1+cos x) /sinx =1/sinx +cosx/sinx =cosec x +cot x I hope you are satisfied with my answer so please follow me Ujjwal1111