How do you prove the identity?

Question

1/tan0+tan0=sec^20/tan0

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Answer 1 · 2018-05-07T17:25:57

Refer to a Proof given in the Explanation.

Knowing that, #1+tan^2theta=sec^2theta#, we have,

#1/tantheta+tantheta#,

#=(1+tan^2theta)/tantheta#,

#=sec^2theta/tantheta,# as desired!