Free Printable Trig of Any Angle

1.

$\sec\ \theta=$

a)

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

b)

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

c)

$\frac{3}{2}$

d)

$\frac{2}{3}$

2.

$\csc\ \theta=$

a)

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

b)

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

c)

$\frac{3}{2}$

d)

$\frac{2}{3}$

3.

The reciprocal of $\cos\ \theta$ is

a)

$\sin\ \theta$

b)

$\sec\ \theta$

c)

$\csc\ \theta$

d)

$\cot\ \theta$

4.

The reciprocal of $\sin\ \theta$ is

a)

$\cos\ \theta$

b)

$\sec\ \theta$

c)

$\csc\ \theta$

d)

$\cot\ \theta$

5.

The reciprocal of $\tan\ \theta$ is

a)

$\cos\ \theta$

b)

$\sec\ \theta$

c)

$\csc\ \theta$

d)

$\cot\ \theta$

6.

Given $\sin\ \theta=\frac{3}{5}$ the angle $\theta$ lies in quadrant 2

then $\cot\ \theta$ =

a)

$-\frac{4}{5}$

b)

$-\frac{5}{4}$

c)

$-\frac{3}{4}$

d)

$-\frac{4}{3}$

7.

Given $\csc\ \theta=\frac{3}{2}$ the angle $\theta$ lies in quadrant 2

then $\cot\ \theta$ =

a)

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

b)

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

c)

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

d)

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

8.

Given $\csc\ \theta=\frac{3}{2}$ the angle $\theta$ lies in quadrant 2

then $\sec\ \theta$ =

a)

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

b)

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

c)

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

d)

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

9.

Given $\tan\ \theta=\sqrt[]{3}$ the angle $\theta$ lies in quadrant 3

then $\cos\ \theta$ =

a)

$-\frac{1}{2}$

b)

$-2$

c)

$\sqrt[]{3}$

d)

$\frac{\sqrt[]{3}}{3}$

10.

If the point (2, -1) is on the terminal side of angle $\theta$ ,

then $\cos\ \theta$ =

a)

$-\frac{\sqrt[]{5}}{5}$

b)

$-\sqrt[]{5}$

c)

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

d)

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

11.

If the point (-4, 2) is on the terminal side of angle $\theta$ ,

then $\sec\ \theta$ =

a)

$\frac{\sqrt[]{5}}{5}$

b)

$\sqrt[]{5}$

c)

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

d)

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

12.

If $\cos\ \theta=\frac{1}{2}$ and $\sin\ \theta<0$ ,

then $\csc\ \theta$

a)

$-\frac{\sqrt[]{3}}{2}$

b)

$-\frac{2\ \sqrt[]{3}}{3}$

c)

$-\sqrt[]{3}$

d)

$-\frac{\sqrt[]{3}}{3}$

13.

$\sec\ \theta>0$ and $\cot\ \theta<0$

In what quadrant is $\theta$ ?

a)

Q 1

b)

Q 2

c)

Q 3

d)

Q 4

14.

$\tan\ \theta>0$ and $\sec\ \theta<0$

In what quadrant is $\theta$ ?

a)

Q 1

b)

Q 2

c)

Q 3

d)

Q 4

15.

$\csc\ \theta>0$ and $\sec\ \theta<0$

In what quadrant is $\theta$ ?

a)

Q 1

b)

Q 2

c)

Q 3

d)

Q 4

Trig of Any Angle

Total questions: 15

Worksheet time: 13mins

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