JEE MATHEMATICS MCQ: TRIGONOMETRY RATIOS

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Application +4 | -1

(\sec \alpha+\tan \alpha)(\sec \beta+\tan \beta)(\sec \gamma+\tan \gamma)

=\tan \alpha \tan \beta \tan \gamma

, then expression

(\sec \alpha-\tan \alpha)(\sec \beta-\tan \beta)(\sec \gamma-\tan \gamma)

is equal to

View answer and explanation

Correct option: A

\cot \alpha \cot \beta \cot \gamma

Option A (

\cot \alpha \cot \beta \cot \gamma

) is correct because using the identity

sec^2 x - tan^2 x = 1

and the given equation, we can derive the expression.

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