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Question
(cosec θ – cot θ)2 = ?
Options
`(1 + cos θ)/(1 - cos θ)`
`(1 - cos θ)/(1 + cos θ)`
`(1 + sin θ)/(1 - sin θ)`
`(1 - sin θ)/(1 + sin θ)`
MCQ
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Solution
`bb((1 - cos θ)/(1 + cos θ))`
Explanation:
`("cosec" θ - cot θ)^2 = (1/(sin θ) - (cos θ)/(sin θ))^2`
= `(1 - cos θ)^2/(sin^2θ)`
= `(1 - cos θ)^2/((1 - cos^2θ))`
= `((1 - cos θ))/((1 + cos θ))`
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