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प्रश्न
Prove the following identities:
`cosecA + cotA = 1/(cosecA - cotA)`
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उत्तर
L.H.S. = `cosecA + cotA`
= `(cosecA + cotA)/1 xx (cosecA - cotA)/(cosecA - cotA)`
= `(cosec^2A - cot^2A)/(cosecA - cotA)`
= `(1 + cot^2A - cot^2A)/(cosecA - cotA)`
= `1/(cosecA - cotA)` = R.H.S.
संबंधित प्रश्न
Prove the following trigonometric identities.
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(sec A − tan A)2 (1 + sin A) = (1 − sin A)
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`(cos^3A + sin^3A)/(cosA + sinA) + (cos^3A - sin^3A)/(cosA - sinA) = 2`
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