Question

prove the following identity, question in attachment​

Answer 1

Answer:

hey here is your answer

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so here we go

Step-by-step explanation:

now here consider lhs=1/sec-tan theta

and rhs=sec+tan theta

now beginning from lhs,,

1/sec-tan theta,

conjugate of sec-tan theta is sec+tan theta

so by applying conjugate method ie multiplying entire lhs by sec+tan

we get

sec+tan theta/sec square-tan square theta

now sec square-tan square theta=1

so accordingly it results as sec+tan theta at the end

so our lhs=rhs (thus proved)