Free Printable 5.3 - Trig Functions of Any Angle

1.

Using the Unit Circle, find the exact value of this trig function.

a)

1

b)

0

c)

-1

d)

undefined

e)

The correct answer is not listed

2.

tan 2π =

a)

0

b)

1

c)

-1

d)

undefined

3.

sin 0 =

a)

0

b)

¹/₂

c)

^√2/₂

d)

^√3/₂

e)

1

4.

Find sin(θ) given that the terminal side of θ contains the point (-19, 19).

a)

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

b)

$-1$

c)

$-\sqrt{2}$

d)

$-\frac{\sqrt{2}}{19}$

5.

Find sec(θ) given that the terminal side of θ contains the point $\left(\sqrt{5},2\right)$ .

a)

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

b)

$\frac{3}{2}$

c)

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

d)

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

6.

Find cos(θ) given that the terminal side of θ contains the point $\left(-9,\ 6\right)$ .

a)

$-\frac{3\sqrt{13}}{13}$

b)

$-\frac{\sqrt{13}}{3}$

c)

$\frac{3}{2}$

d)

$\frac{\sqrt{13}}{3}$

7.

Find $\tan\left(\theta\right)$ given that $\sin\left(\theta\right)=-\frac{3}{5}$ and $\cos\left(\theta\right)>0$ .

a)

$-\frac{3}{4}$

b)

$\frac{4}{5}$

c)

$\frac{4}{3}$

d)

$-\frac{5}{3}$

8.

Find $\csc\left(\theta\right)$ given that $\cos\left(\theta\right)=\frac{4\sqrt{17}}{17}$ and $\sin\left(\theta\right)<0$ .

a)

$-\sqrt{17}$

b)

$-4$

c)

$\frac{1}{4}$

d)

$\frac{\sqrt{17}}{17}$

9.

Find $\sin\left(\theta\right)$ given that $\cot\left(\theta\right)=-\frac{\sqrt{2}}{5}$ and $\cos\left(\theta\right)>0$ .

a)

$-\frac{5\sqrt{3}}{9}$

b)

$\frac{\sqrt{6}}{3}$

c)

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

d)

$-\frac{5}{9}$

10.

Name the quadrant in which ∠A lies, if cosA > 0, sinA < 0

a)

1

b)

2

c)

3

d)

4

11.

Name the quadrant in which ∠A lies, if tanA < 0, cosA < 0

a)

4

b)

3

c)

2

d)

1

12.

Name a quadrant in which ∠A can lie in, if the tanA is positive?

a)

1

b)

2

c)

3

d)

4

13.

What is the reference angle for 125°?

a)

235°

b)

125°

c)

75°

d)

55°

14.

What is the reference angle for -30°?

a)

150°

b)

30°

c)

80°

d)

60°

15.

What is the reference angle for $\frac{4\pi}{3}$ ?

a)

$\frac{\pi}{3}$

b)

$\frac{\pi}{6}$

c)

$\frac{\pi}{4}$

d)

$\frac{7\pi}{6}$

16.

Find the exact value of the trig function tan ^7π/₆

a)

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

b)

$\sqrt{3}$

c)

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

d)

$\frac{\sqrt{3}}{2}$

17.

a)

-1 / 2

b)

√3 / 2

c)

-√3 / 2

d)

1 / 2

18.

Using reference angles, find the exact value of sin(300⁰).

a)

1/2

b)

-1/2

c)

√3/2

d)

-√3/2

5.3 - Trig Functions of Any Angle

Total questions: 18

Worksheet time: 25mins

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