Find the value of
5+(1+tan²θ) sinθ cosθ/tanθ
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Answer:
6
Step-by-step explanation:
5+(1+tan²θ) sinθ cosθ/tanθ
By using Identity 1+ tan²θ= sec²θ
= 5 + sec²θsinθ cosθ/(sinθ /cosθ)
= 5+ sec²θ sinθcos²θ/sinθ
= 5 + sec²θcos²θ
We know that secθ = 1/ cosθ
= 5 +1
= 6
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