(sinθ+cosθ)/(sinθ-cosθ) = 7 হলে secθ -এর মান কত?
Solution
Correct Answer: Option B
sinθ+cosθ / sinθ−cosθ = 7
⇒ (sinθ+cosθ+sinθ−cosθ) / (sinθ+cosθ-sinθ+cosθ) = (7+1) / (7-1) [যোজন বিয়োজন]
⇒ 2sinθ / 2cosθ = 8/6
⇒ tanθ = 4/3
tan2θ + 1 = sec2θ
16/9 + 1 = sec2θ
25/9 = sec2θ
∴ secθ = ± 5/3
⇒ (sinθ+cosθ+sinθ−cosθ) / (sinθ+cosθ-sinθ+cosθ) = (7+1) / (7-1) [যোজন বিয়োজন]
⇒ 2sinθ / 2cosθ = 8/6
⇒ tanθ = 4/3
tan2θ + 1 = sec2θ
16/9 + 1 = sec2θ
25/9 = sec2θ
∴ secθ = ± 5/3
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