Question

prove the following identities tan0/1-cot0 + cot0/1-tan0 = 1+sec0 cosec0

Answer 1

tan0/1-1/tan0+cot0/1-tan0
=tan^20/tan0-1+cot0/1-tan0
=tan^3 0-1/(tan0-1)tan0
=tan0+cot0+1
=1+sec0. cosec0

Answer 2

Answer:

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To prove that: tan0/1-cot0+cot0/1-tan0=1+sec0 cosec0

Step-by-step explanation:

LHS tan0/1-1/tan0+cot0/1-tan0

=tan^20/tan0-1+cot0/1-tan0

=tan^3 0-1/(tan0-1)tan0

=tan0+cot0+1

=1+sec0. cosec0

hence verified

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