Question

State whether the following statement is true or false:

$4\cos \theta -3\sec \theta =2\tan \theta$.

• A. True
• B. False

Answer 1

The correct option is B False

For example

take $\theta =45$

$LHS$

$=4\cos 45-3\sec 45$

$=\frac{4}{\sqrt{2}}-3\sqrt{2}$

$=\frac{4-6}{\sqrt{2}}$

$=-\sqrt{2}$

$RHS$

$=2\tan 45$

$=2$

$LHS$ $\ne$ $RHS$