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1. sinθ+cosθsinθ-cosθ=7

  • A. 3/4
  • B. 3/4
  • C. 3/4
  • D. 3/4

Answer: Option B

Explanation:

(sin θ + cos θ)/(sin θ — cos θ) = 7

= > (sin θ + cos θ + sin θ — cos θ)/(sin θ + cos θ — sin θ + cos θ) = {(7 + 1)/(7 - 1)}

= > (2 sin θ)/(2 cos θ) = (8/6)

∴ tan θ = 4/3 (Ans)


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