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11-06-2016
Mathematics

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Verify the identity: (1-sinx)/cosx = cosx/(1+sinx)

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taskmasters taskmasters

11-06-2016

cross multiply the expression so that we can get

(1+sinx)(1-sinx) = cos^2 x

1 - sin^2 x = cos^2 x

cos^2 x + sin^2 x = 1

since

cos^2 x + sin^2 x = 1

therefore

1 = 1

the two expressions are identical in a trigonometric sense

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