(sinθ + cosθ)/(sinθ - cosθ) = 7 হলে, tanθ এর মান কত?
Solution
Correct Answer: Option D
(sinθ + cosθ)/(sinθ - cosθ) = 7
বা, 7(sinθ - cosθ) = sinθ + cosθ
বা, 7sinθ - 7cosθ = sinθ + cosθ
বা, 7sinθ - sinθ = cosθ + 7cosθ
বা, 6sinθ = 8cosθ
বা,sinθ/cosθ = 8/6
∴ tanθ = 4/3
বা, 7(sinθ - cosθ) = sinθ + cosθ
বা, 7sinθ - 7cosθ = sinθ + cosθ
বা, 7sinθ - sinθ = cosθ + 7cosθ
বা, 6sinθ = 8cosθ
বা,sinθ/cosθ = 8/6
∴ tanθ = 4/3
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