cosecθ + cotθ = 5/3 হলে cosecθ - cotθ এর মান কত?
Solution
Correct Answer: Option D
আমরা জানি,
cosec2θ - cot2θ = 1
⇒ (cosecθ + cotθ)(cosecθ - cotθ) = 1
⇒ (cosecθ - cotθ) = 1/(cosecθ + cotθ)
⇒ (cosecθ - cotθ) = 1/(5/3)
∴ cosecθ - cotθ = 3/5
cosec2θ - cot2θ = 1
⇒ (cosecθ + cotθ)(cosecθ - cotθ) = 1
⇒ (cosecθ - cotθ) = 1/(cosecθ + cotθ)
⇒ (cosecθ - cotθ) = 1/(5/3)
∴ cosecθ - cotθ = 3/5
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