Question

Prove that: (cosec A-sin A) (sec A- cos A) = 1 /tan A + cot A​

Answer 1

Answer:

LHS=(cosecA−sinA)(secA−cosA)=(sinA1−sinA)(cosA1−cosA)

                                       =(sinA1−sin2A)(cosA1−cos2A)=sinAcosA=21sin2A

RHS=tanA+cotA1=1+tan2AtanA=21sin2A

LHS=RHS

Hence Proved

i hope this is the ans