Question
Download Solution PDFIf 8 cot θ = 6, then the value of \(\rm \frac{sin\theta + cos θ }{sin\theta - cos θ}\) is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
8 cot θ = 6
Calculations:
cot θ = 6/8 = 3/4
Now,
\(\rm \frac{sin\theta + cos θ }{sin\theta - cos θ}\)
= \(\rm \frac{sin\theta(1 + cos θ/ sinθ) }{sin\theta (1 - cos θ/sinθ)}\)
= \(\rm \frac{1 + cot θ }{1 - cot θ}\)
= {1 + (3/4)} / {1 - (3/4)}
= 7
Hence, The Required value is 7.
Last updated on Jun 13, 2025
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