Question

tan theta √( cosec theta - 1)(cosec theta +1) =+-1 prove that​

Answer 1

Step-by-step explanation:

tan theta √(cosec theta)²-(1)². (1)

we know that

cosec²theta - cot²theta=1. (identity)

cosec²theta -1=cot² theta. (2)

put (2) in (1)

tan theta√cot²theta

tan theta √(cot theta)²

tan theta×cot theta

tan theta × 1/tan theta

= 1

answer

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