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प्रश्न
Prove the following identities:
`sqrt((1 + sinA)/(1 - sinA)) = cosA/(1 - sinA)`
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उत्तर
`sqrt((1 + sinA)/(1 - sinA))`
= `sqrt((1 + sinA)/(1 - sinA) xx (1 - sinA)/(1 - sinA))`
= `sqrt((1 - sin^2A)/(1 - sinA)^2)`
= `sqrt(cos^2A/((1 - sinA)^2)`
= `cosA/(1 - sinA)`
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संबंधित प्रश्न
Prove the following trigonometric identities:
(i) (1 – sin2θ) sec2θ = 1
(ii) cos2θ (1 + tan2θ) = 1
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[Hint : Simplify LHS and RHS separately.]
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