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Question
If 3x = cosec x and `3/x = cot x` then `3(x^2 - 1/x^2)` = ?
Options
`1/27`
`1/81`
`1/3`
`1/9`
MCQ
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Solution
`bb(1/3)`
Explanation:
(cosec2x – cot2x) = 1
⇒ `(9x^2 - 9/x^2) = 1`
⇒ `9(x^2 - 1/x^2) = 1`
∴ `(x^2 - 1/x^2) = 1/9`
⇒ `3(x^2 - 1/x^2) = (3 xx 1/9) = 1/3`
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