Question

Evaluate (sec^2theta - 1)(1- cosec^2 theta)

Answer 1

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Note:-

Tan²∅=sec²∅-1


Cosec∅=1/Sin²∅


ACCORDING TO THE QUESTION.....


(Sec²∅-1)(1-cosec²∅)
=(Tan²∅)(1-1/sin²∅)

=Tan²∅(Sin²∅-1/Sin²∅)

=Tan²∅(Cos²∅/sin²∅)
=Sin²∅/Cos²∅ (Cos²∅/sin²∅)

=Cancel Both

=1


Answer:-1


Thanks

Answer 2

Hey mate
♣♣♣♣To solve the problems use Identity

Sec² @ - 1 = Tan²@
Cosec²@-1=Cot²@

Therefore answers will become - 1.

Helps u ✌✌✌✌