Question

If $\tan \theta =\frac{4}{3}$ then $\cos \theta$ will be

• A. $\frac{3}{5}$
• B. $\frac{4}{5}$
• C. $\frac{2\sqrt{2}}{3}$
• D. $\frac{3}{4}$

Answer 1

The correct option is A $\frac{3}{5}$

Given $\tan \theta =\frac{4}{3}$

As we know that

${\text{sec}}^2\theta =1+{\tan }^2\theta =1+(\frac{4}{3}{)}^2=(\frac{5}{3}{)}^2$

$⟹\text{sec}\theta =\frac{5}{3}$

$⟹\cos \theta =\frac{3}{5}$