1.

Sintheta/cottheta+cosectheta-sintheta/cottheta -cosectheta =2

Answer»

ong>Step-by-step explanation:

LET THETA = α

Given LHS = Sintheta/cottheta+COSECTHETA - sintheta/cottheta -cosectheta

= sinα / (cotα + cosecα) - sinα / (cotα - cosecα)

= sinα {(cotα - cosecα) - (cotα + cosecα)} / (cotα - cosecα)(cotα + cosecα)

= sinα {cotα - cosecα - cotα - cosecα} / (cot²α - cosec²α)

= sinα (-2cosecα) / -1

= 2sinα / sinα = 2 = RHS



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