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प्रश्न
Write all the other trigonometric ratios of ∠A in terms of sec A.
उत्तर
(i) `sin A = sin A /1`
= `(sin A ÷ cos A)/(1÷ cos A)`
= `(sin A/cosA)/(1/cosA)`
= `tan A/sec A`
= `sqrt( tan^2 A)/sec A`
= `sqrt(sec^2A-1)/(secA)`
(ii) `cos A = 1/(sec A)`
(iii) `tan A = sqrt(tan^2 A) = sqrt(sec^2 A-1)`
(iv) `cosec A = 1/sinA = secA/sqrt(sec^2A-1)`
(v) `cot A = (cos A)/(sin A)`
= `(1/(secA))/(sqrt(sec^2A-1)/secA)`
= `1/(sqrt(sec^2A-1))`
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