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प्रश्न
(sec2 θ – 1) (cosec2 θ – 1) is equal to ______.
विकल्प
–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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संबंधित प्रश्न
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`5/(sin^2theta) - 5cot^2theta`, complete the activity given below.
Activity:
`5/(sin^2theta) - 5cot^2theta`
= `square (1/(sin^2theta) - cot^2theta)`
= `5(square - cot^2theta) ......[1/(sin^2theta) = square]`
= 5(1)
= `square`
(1 – cos2 A) is equal to ______.
Prove that `(1 + tan^2 A)/(1 + cot^2 A)` = sec2 A – 1
