Question

Write the trigonometric ratios for the following right angled $△XYZ$.

Answer 1

Given $XY=15$, $YZ=8$, $XZ=$?
${XZ}^2={XY}^2+{YZ}^2$ (By Pythagoras theorem)
$={15}^2+8^2=225+64=289$
$XZ=\sqrt{289}=17$.
$\sin \theta =\frac{15}{17}$

$\cos \theta =\frac{8}{17}$

$\tan \theta =\frac{15}{8}$

$\csc \theta =\frac{17}{15}$

$\sec \theta =\frac{17}{8}$

$\cot \theta =\frac{8}{15}$