Free Printable Non- Right Triangle Trigonometry

1.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\cot\theta,\left(3,11\right)

a)

$\frac{\sqrt{130}}{3}$

b)

$\frac{3}{11}$

c)

$\frac{\sqrt{130}}{11}$

d)

$\frac{3}{\sqrt{130}}$

2.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\tan\theta,\left(8,-\sqrt{17}\right)

a)

$-\frac{9}{\sqrt{17}}$

b)

$-\frac{\sqrt{17}}{8}$

c)

$-\frac{8}{\sqrt{17}}$

d)

$\frac{9}{8}$

3.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\sec\theta,\left(-6,-18\right)

a)

$-\frac{\sqrt{10}}{10}$

b)

$-\frac{\sqrt{10}}{3}$

c)

$-\frac{1}{3}$

d)

$-\sqrt{10}$

4.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\cos\theta,\left(4,-\sqrt{20}\right)

a)

$-\frac{\sqrt{20}}{6}$

b)

$\frac{3}{2}$

c)

$-\frac{\sqrt{45}}{5}$

d)

$\frac{2}{3}$

5.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\sin\theta,\left(-\sqrt{5},-2\right)

a)

$-\frac{3}{2}$

b)

$-\frac{2}{3}$

c)

$-\frac{\sqrt{5}}{3}$

d)

$\frac{\sqrt{5}}{2}$

6.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\cot\theta,\left(-\sqrt{13},6\right)

a)

$-\frac{\sqrt{13}}{7}$

b)

$-\frac{\sqrt{13}}{6}$

c)

$\frac{7}{6}$

d)

$\frac{\sqrt{5}}{2}$

7.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\tan\theta,\left(-\sqrt{15},-7\right)

a)

$-\frac{\sqrt{370}}{19}$

b)

$\frac{3}{\sqrt{370}}$

c)

$\frac{\sqrt{370}}{3}$

d)

$\frac{7}{\sqrt{15}}$

8.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\cot\theta,\left(\sqrt{5},-2\right)

a)

$-\frac{3}{2}$

b)

$\frac{\sqrt{5}}{3}$

c)

$-\frac{\sqrt{5}}{2}$

d)

$\frac{3}{\sqrt{5}}$

9.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\cot\theta,\left(-16,8\right)

a)

$-\frac{1}{2}$

b)

$-\frac{2}{\sqrt{5}}$

c)

$\sqrt{5}$

d)

$-2$

10.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\sec\theta,\left(-6,-17\right)

a)

$-\frac{\sqrt{325}}{6}$

b)

$\frac{6}{17}$

c)

$-\frac{17}{\sqrt{325}}$

d)

$-\frac{\sqrt{325}}{17}$

11.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\cos\theta,\left(8,19\right)

a)

$\frac{19}{8}$

b)

$\frac{8}{\sqrt{425}}$

c)

$\frac{8}{19}$

d)

$\frac{\sqrt{425}}{8}$

12.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\sin\theta,\left(-2,-\sqrt{12}\right)

a)

$-2$

b)

$\frac{\sqrt{12}}{2}$

c)

$-\frac{1}{2}$

d)

$-\frac{\sqrt{12}}{4}$

13.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\sec\theta,\left(-\sqrt{13},-6\right)

a)

$-\frac{\sqrt{13}}{7}$

b)

$-\frac{7}{\sqrt{13}}$

c)

$-\frac{6}{7}$

d)

$\frac{\sqrt{13}}{6}$

14.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\sec\theta,\left(\sqrt{20},-4\right)

a)

$-\frac{\sqrt{20}}{5}$

b)

$\frac{6}{\sqrt{20}}$

c)

$\frac{\sqrt{20}}{6}$

d)

$-\frac{3}{2}$

15.

Use the given point on the terminal side of angle

\theta

to find the value of the trigonometric function indicated:

\csc\theta,\left(9,-12\right)

a)

$-\frac{4}{5}$

b)

$-\frac{4}{3}$

c)

$\frac{5}{3}$

d)

$-\frac{5}{4}$

Non- Right Triangle Trigonometry

Total questions: 15

Worksheet time: 8mins

Similar Resources on Wayground