Evalute cos^2theta tan^2theta + tan^2theta sin^2theta in terms of tan theta.
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Given : Cos²θtan²θ + tan²θsin²θ
To Find : Evaluate in terms of tan theta.
Solution
Cos²θtan²θ + tan²θsin²θ
Taking tan²θ common
= tan²θ (Cos²θ + sin²θ )
Apply the formula that Cos²θ + sin²θ = 1
= tan²θ (1 )
= tan²θ
Cos²θtan²θ + tan²θsin²θ = tan²θ
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