8 cot θ = 6 అయితే, \(\rm \frac{sin\theta + cos θ }{sin\theta - cos θ}\) విలువ కనుగొనండి?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 4)

Answer 1

ఇచ్చినది:

8 cot θ = 6

గణనలు:

cot θ = 6/8 = 3/4

ఇప్పుడు,

\(\rm \frac{sin\theta + cos θ }{sin\theta - cos θ}\)

= \(\rm \frac{sin\theta(1 + cos θ/ sinθ) }{sin\theta (1 - cos θ/sinθ)}\)

= \(\rm \frac{1 + cot θ }{1 - cot θ}\)

= {1 + (3/4)} / {1 - (3/4)}

= 7

కాబట్టి, అవసరమైన విలువ 7.

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