Question

Cot theta + cosec theta-1/ cot theta-cosec theta+1= 1+cos theta/sin theta is proved​

Answer 1

Answer:

LHS = (cotA + cosecA - 1)/(cotA - cosecA + 1)

cotA + cosecA -(cosec2A- cot2A) / cotA - cosecA +1

cotA + cosecA- (cosecA + cotA)(cosecA- cotA) /cotA - cosecA +1

(cotA + cosecA)(1- cosecA+CotA)/ cotA-cosecA+1 =

cot A + cosec A

cosA/sin A +1/ cosA =1+cosA/sinA