Question
Write tan x in terms of cos x
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Answer to a math question Write tan x in terms of cos x
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4.598 Answers
We know that \tan x = \frac{\sin x}{\cos x}
Using trigonometric identity\sin^2 x + \cos^2 x = 1 \sin^2 x = 1 - \cos^2 x
Therefore,\tan x = \frac{\sin x}{\cos x} = \frac{\sqrt{1-\cos^2 x}}{\cos x}
Thus,\boxed{\tan x = \sqrt{\frac{1-\cos^2 x}{\cos^2 x}}} \tan x \cos x
Using trigonometric identity
Therefore,
Thus,
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