(sinθ + cosθ)/(sinθ - cosθ) = 5 হলে, tanθ এর মান কত?

A 1/2

B 3/4

C 2/3

D 3/2

Solution

Correct Answer: Option D

দেওয়া আছে,
(sinθ + cosθ)/(sinθ - cosθ) = 5
⇒ (sinθ + cosθ + sinθ - cosθ)/(sinθ + cosθ - sinθ + cosθ) = (5 +1)/(5 - 1)
⇒ 2sinθ/2cosθ = 6/4
∴ tanθ = 3/2

Solution

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