Free Printable Homework Right Triangle Trigonometry

1.

Use the triangle to find the

\sin Z=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{3}$

2.

Use the triangle to find the

\cos Z=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{4}$

3.

Use the triangle to find the

\sec Z=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{4}$

4.

Use the triangle to find the

\csc Z=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{3}$

5.

Use the triangle to find the

\cot Z=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

6.

Use the triangle to find the

\tan Z=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

7.

Use the triangle to find the

\sin X=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{4}$

8.

Use the triangle to find the

\cos X=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{3}$

9.

Use the triangle to find the

\csc X=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{4}$

10.

Use the triangle to find the

\sec X=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{5}{3}$

11.

Use the triangle to find the

\tan X=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

12.

Use the triangle to find the

\cot X=

Be sure to reduce the answer, if needed.

a)

$\frac{3}{5}$

b)

$\frac{4}{5}$

c)

$\frac{3}{4}$

d)

$\frac{4}{3}$

13.

Use the triangle to find the

\cot\alpha=

Be sure to reduce the answer, if needed.

a)

$\frac{15}{8}$

b)

$\frac{8}{15}$

c)

$\frac{8}{17}$

d)

$\frac{15}{17}$

14.

Use the triangle to find the

\tan\alpha=

Be sure to reduce the answer, if needed.

a)

$\frac{15}{8}$

b)

$\frac{8}{15}$

c)

$\frac{8}{17}$

d)

$\frac{15}{17}$

15.

Use the triangle to find the

\cos\alpha=

Be sure to reduce the answer, if needed.

a)

$\frac{15}{8}$

b)

$\frac{17}{15}$

c)

$\frac{8}{17}$

d)

$\frac{15}{17}$

16.

Use the triangle to find the

\sec\alpha=

Be sure to reduce the answer, if needed.

a)

$\frac{15}{8}$

b)

$\frac{17}{15}$

c)

$\frac{8}{17}$

d)

$\frac{15}{17}$

17.

Use the triangle to find the

\csc\alpha=

Be sure to reduce the answer, if needed.

a)

$\frac{15}{8}$

b)

$\frac{17}{8}$

c)

$\frac{8}{17}$

d)

$\frac{15}{17}$

18.

Use the triangle to find the

\sin\alpha=

Be sure to reduce the answer, if needed.

a)

$\frac{15}{8}$

b)

$\frac{17}{8}$

c)

$\frac{8}{17}$

d)

$\frac{15}{17}$

19.

Use the triangle to find the length of the missing side. Leave your answer in radical form.

a)

$\sqrt{115}$

b)

$\sqrt{5}$

c)

$\sqrt{277}$

d)

$\sqrt{23}$

20.

Use the triangle to find the length of the missing side. Leave your answer in radical form.

a)

$\sqrt{157}$

b)

$\sqrt{5}$

c)

$\sqrt{85}$

d)

$\sqrt{17}$

Homework Right Triangle Trigonometry

Total questions: 20

Worksheet time: 10mins

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