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algartaim6jf

Answered question

2022-12-21

How to simplify the expression

\cos x + \tan x \sin x

NalmIrralsedx8

Beginner2022-12-22Added 10 answers

= \cos x + \frac{\sin x}{\cos x} \times \sin x

= \cos x + \frac{\sin^{2} x}{\cos x}

= \frac{\cos^{2} x + \sin^{2} x}{\cos x}

= \frac{1}{\cos x}

= \sec x

Damon Turner

Beginner2022-12-23Added 3 answers

\cos x + \tan x \sin x = \cos x + (\frac{\sin x}{\cos x}) \sin x

= \cos x + \frac{{(\sin x)}^{2}}{\cos x}

= \frac{{(\cos x)}^{2} + {(\sin x)}^{2}}{\cos x}

= \frac{1}{\cos x} = \sec x

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