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Question
Prove the following identities.
cot θ + tan θ = sec θ cosec θ
Solution
L.H.S. = cot θ + tan θ
= `costheta/sintheta + sintheta/costheta`
= `(cos^2theta + sin^2theta)/(sintheta costheta)` ...[cos2 θ + sin2 θ = 1]
= `1/(sintheta costheta)`
= sec θ . cosec θ = R.H.S.
∴ cot θ + tan θ = sec θ cosec θ
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