Question

Given: $17\cos \Theta =15$, find the value of: $\tan \Theta +2\sec \Theta$.
is $2\frac{4}{m}$, m is

Answer 1

$17cos\Theta =15$
$cos\Theta =\frac{15}{17}$
$\cos \Theta =\frac{B}{H}=\frac{15}{17}$
by Pythagoras Theorem,
$H^2=P^2+B^2$
${17}^2=P^2+{15}^2$
$P=8$
Now, $\tan \Theta +2\sec \Theta$
= $\frac{P}{B}+2\frac{H}{B}$
= $\frac{8}{15}+2\left(\frac{17}{15}\right)$
= $\frac{8+34}{15}$
= $\frac{42}{15}$
= $\frac{14}{5}=2\frac{4}{5}$