Question

Find the tangent of angle Z.
Find the cosine of angle Y.
Find the cotangent of angle Y.
Find the sine of angle Y.
Find the secant of angle Z.

Answer 1

$\tan Z = \dfrac{ \textrm{opp}}{\textrm{adj}} = \dfrac{8}{6} = \dfrac{4}{3}$

Tangent Z: 4/3

$\cos Y = \dfrac{\textrm{adj}}{\textrm{hyp}} = \dfrac{8}{10} = \dfrac 4 5$

Cosine Y: 4/5

$\cot Y= \tan Z = \dfrac 4 3$

Cotangent Y: 4/3

$\sin Y = \dfrac{ \textrm{opp}}{\textrm{hyp}} = \dfrac{6}{10} = \dfrac{3}{5}$

$\sec Z = \dfrac{1}{\cos Z} = \dfrac{1}{\sin Y} = \dfrac{5}{3}$