Question

The expression cosx + tanx sinx can be simplified to _____.

Answer 1

Answer:

Option (b) is correct.

The expression $\cos x + \tan x \sin x$  can be simplified to $\sec x$

Step-by-step explanation:

Given expression $\cos x + \tan x \sin x$

We have to simplify the given expression and write it in simplified form and choose the correct option from the given options.

Consider the given expression,

$\cos x + \tan x \sin x$

We know, $\tan x= \frac{\sin x}{\cos x}$

Given expression becomes,

$\cos x +\frac{\sin x}{\cos x} \sin x$

Taking LCM, we get

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

Also from trigonometric identity $\sin^2 x+\cos^2 x=1$

Expression becomes,

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

Thus, option (b) is correct.

The expression $\cos x + \tan x \sin x$  can be simplified to $\sec x$

Answer 2

The expression cosx + tanx sinx can be simplified to secx. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about and it will be able to help you.