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प्रश्न
(sec2 θ – 1) (cosec2 θ – 1) is equal to ______.
पर्याय
–1
1
0
2
उत्तर
(sec2 θ – 1) (cosec2 θ – 1) is equal to 1.
Explanation:
(sec2 θ – 1) (cosec2 θ – 1) = tan2 θ.cot2 θ ...`[(∵ sec^2 θ - 1 = tan^2 θ),("cosec"^2 θ - 1 = cot^2 θ)]`
= `tan^2 θ . 1/tan^2 θ`
= 1
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