# If tanθ = n tanα

We want to find value of cos2θ in terms of m and n.

So we first eliminate angle α,

tanθ =n tanα [ Given]

(1)

sinθ =m sinα [ Given]

(2)

We know that,

cosec2α – cot2α =1

Substituting values from (1) and (2) gives,

Hence proved.

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