sinθ+cosθsinθ-cosθ=7 হলে, tanθ এর মান কত?
A
3/4
B
4/3
C
7/8
D
8/7
Correct Answer: 4/3
(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)