Math, asked by khaisbin001, 2 months ago

Find the value of
5+(1+tan²θ) sinθ cosθ/tanθ​

Answers

Answered by vaishubh1707
1

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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