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प्रश्न
Prove the following Identities :
`(cosecA)/(cotA+tanA)=cosA`
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उत्तर
`(cosecA)/(cotA+tanA)=cosA`
= LHS
= `(cosecA)/(cotA+tanA)`
= `(cosecA)/(cosA/sinA+sinA/cosA)`
=`((cosecA)/(cos^2A+sin^2A))/(sinA.cosA)`
= `(1/sinA)/(1/(sinA.cosA))`
= `(sinA.cosA)/sinA`
= cosA
= RHS
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Activity:
L.H.S. = `square`
= (sin2A + cos2A) `(square)`
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= `square`
= R.H.S.
