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Question
The value of `(tan^2θ - sec^2θ)/(cot^2θ - "cosec"^2θ)` is ______.
Options
–1
`1/2`
`(-1)/2`
1
MCQ
Fill in the Blanks
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Solution
The value of `(tan^2θ - sec^2θ)/(cot^2θ - "cosec"^2θ)` is 1.
Explanation:
`(tan^2θ - sec^2θ)/(cot^2θ - "cosec"^2θ) = (tan^2θ - (1 + tan^2θ))/(cot^2θ - (1 + cot^2θ))`
= `(-1)/(-1)`
= 1
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