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Question: Answered & Verified by Expert
If \( \theta \) lies in the second quadrant and \( 3 \tan \theta+4=0 \), then the value of \( 2 \cot \theta-5 \cos \theta+\sin \theta \) is \( \frac{6}{k} \) then find \( k \).
MathematicsTrigonometric Ratios & IdentitiesJEE Main
Solution:
1564 Upvotes Verified Answer
The correct answer is: 2.3

3tanθ+4=0tanθ=-43

cotθ=-3/4
cosθ=-3/5
sinθ=4/5
=2cotθ-5cosθ+sinθ
=2(-3/4)-5(-3/5)+4/5=2310

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