Question

If $tan\theta =\frac{3}{4},$ find the values of $sec\theta$ and $cos\theta .$

Answer 1

Consider the equation,

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

Now,

${\tan }^2\theta =\frac{9}{16}$

$1+{\tan }^2\theta =1+\frac{9}{16}=\frac{25}{16}$

${\sec }^2\theta =\frac{25}{16}$

$\sec \theta =\pm \frac{5}{4}$

$\cos \theta =\pm \frac{4}{5}$

Hence, this is the answer.