"How to simplify cos⁡x+sin⁡xtan⁡x?" was answered by our community

Bentley Doyle

Answered question

2023-01-16

How to simplify

\cos x + \sin x \tan x

Gremoli9bs

Beginner2023-01-17Added 10 answers

u \sin g t h e t r i g o n o m e t r i c i d e n t i t i e s

• x \tan x = \frac{\sin x}{\cos x} and \sec x = \frac{1}{\cos x}

• x \sin^{2} x + \cos^{2} x = 1

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

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

= \frac{\cos^{2} x + \sin^{2} x}{\cos x} = \frac{1}{\cos x} = \sec x

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