Free Printable Sine, Cosine and Tangent

1.

What is the definition of the sine function?

a)

$\sin\left(\theta\right)=\frac{opposite}{hypotenuse}$

b)

$\sin\left(\theta\right)=\frac{opposite}{adjacent}$

c)

$\sin\left(\theta\right)=\frac{adjacent}{hypotenuse}$

d)

$\sin\left(\theta\right)=\frac{hypotenuse}{opposite}$

2.

What is the definition of the tangent function?

a)

$\tan\left(\theta\right)=\frac{opposite}{hypotenuse}$

b)

$\tan\left(\theta\right)=\frac{opposite}{adjacent}$

c)

$\tan\left(\theta\right)=\frac{adjacent}{hypotenuse}$

d)

$\tan\left(\theta\right)=\frac{hypotenuse}{opposite}$

3.

What is the definition of the inverse sine function?

a)

$\sin^{-1}\left(\frac{hypotenuse}{adjacent}\right)=\theta$

b)

$\sin^{-1}\left(\frac{opposite}{adjacent}\right)=\theta$

c)

$\sin^{-1}\left(\frac{opposite}{hypotenuse}\right)=\theta$

d)

$\sin^{-1}\left(\frac{adjacent}{hypotenuse}\right)=\theta$

4.

What is the definition of the inverse tangent function?

a)

$\tan^{-1}\left(\frac{opposite}{hypotenuse}\right)=\theta$

b)

$\tan^{-1}\left(\frac{opposite}{adjacent}\right)=\theta$

c)

$\tan^{-1}\left(\frac{adjacent}{hypotenuse}\right)=\theta$

d)

$\tan^{-1}\left(\frac{adjacent}{opposite}\right)=\theta$

5.

What is the definition of the inverse cosine function?

a)

$\cos^{-1}\left(\frac{opposite}{hypotenuse}\right)=\theta$

b)

$\cos^{-1}\left(\frac{adjacent}{hypotenuse}\right)=\theta$

c)

$\cos^{-1}\left(\frac{opposite}{adjacent}\right)=\theta$

d)

$\cos^{-1}\left(\frac{hypotenuse}{adjacent}\right)=\theta$

6.

What is the definition of the cosine function?

a)

$\cos\left(\theta\right)=\frac{opposite}{hypotenuse}$

b)

$\cos\left(\theta\right)=\frac{opposite}{adjacent}$

c)

$\cos\left(\theta\right)=\frac{adjacent}{hypotenuse}$

d)

$\cos\left(\theta\right)=\frac{hypotenuse}{opposite}$

7.

What is the value of x?

a)

$32\sqrt[]{3}$

b)

$32$

c)

$16$

d)

$8\sqrt[]{3}$

8.

What is the value of $\sin\left(\theta\right)$ ?

a)

$2$

b)

$\frac{1}{\sqrt[]{3}}$

c)

$\frac{8}{8\sqrt[]{3}}$

d)

$\sqrt[]{3}$

9.

What is the value of $\cos\left(\theta\right)$ ?

a)

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

b)

$\frac{1}{\sqrt[]{3}}$

c)

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

d)

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

10.

What is the value of $\angle EDF$ ?

a)

$30^{\circ}$

b)

$60^{\circ}$

c)

$90^{\circ}$

d)

$45^{\circ}$

11.

What is the value of $\angle DFE$ ?

a)

$30^{\circ}$

b)

$60^{\circ}$

c)

$90^{\circ}$

d)

$45^{\circ}$

12.

What is the value of $\sin\left(\angle HGJ\right)$ ?

a)

$\frac{5}{12}$

b)

$\frac{5}{13}$

c)

$\frac{12}{13}$

d)

$\frac{12}{5}$

13.

What is the value of $\sin\left(\angle GHJ\right)$ ?

a)

$\frac{5}{12}$

b)

$\frac{5}{13}$

c)

$\frac{12}{13}$

d)

$\frac{12}{5}$

14.

What is the value of $\cos\left(\angle HGJ\right)$ ?

a)

$\frac{5}{12}$

b)

$\frac{5}{13}$

c)

$\frac{12}{13}$

d)

$\frac{12}{5}$

15.

What is the value of $\cos\left(\angle MKL\right)$ ?

a)

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

b)

$\frac{1}{\sqrt[]{3}}$

c)

$\frac{1}{2}$

d)

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

16.

What is the value of $\sin\left(\angle LMK\right)$ ?

a)

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

b)

$\frac{8}{16}$

c)

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

d)

$\frac{1}{2}$

17.

Find the value of x.

a)

$11.7$

b)

$25.7$

c)

$9.1$

d)

$7.6$

18.

Find the value of x.

a)

$6.03$

b)

$10.6$

c)

$6.95$

d)

$12.2$

19.

Find the value of x.

a)

$6.4\cdot\tan\left(36^{\circ}\right)=x$ $x=4.65$

b)

$6.4\cdot\sin\left(36\right)=x$ $x=3.76$

c)

$\frac{6.4}{\sin\left(36^{\circ}\right)}=x$

$x=10.89$

d)

$\frac{6.4}{\tan\left(36^{\circ}\right)}=x$ $x=8.81$

20.

Find the value of x.

a)

$7.58$

b)

$13.73$

c)

$15.24$

d)

$9.18$

21.

Find the value of x.

a)

$9.92$

b)

$27.59$

c)

$23.38$

d)

$10.78$

22.

Find the value of x.

a)

$44.30$

b)

$104.82$

c)

$224.79$

d)

$203.73$

23.

A 12-ft ladder is leaning against a wall and makes a $77^{\circ}$ angle with the ground. How high does the ladder reach on the wall? (Round your answer to the nearest tenth.)

(a)

24.

A 4.5 m ladder is leaning against a wall and makes a $65^{\circ}$ angle with the ground. How high does the ladder reach on the wall? (Round your answer to the nearest tenth.)

(a)

25.

A straight ramp rises at an angle of $15^{\circ}$ and has a base 8.5 m long. How high does the ramp rise? (Round your answer to the nearest hundredth).

(a)

26.

Find the value of x.

a)

$16.4$

b)

$98.9$

c)

$107.5$

d)

$45.6$

27.

Find the value of x.

a)

$3.77$

b)

$2.92$

c)

$8.26$

d)

$5.37$

28.

Find the value of x.

a)

$151.1$

b)

$98.1$

c)

$53.4$

d)

$44.8$

29.

Find the value of x.

a)

$31.1$

b)

$0.5$

c)

$26.1$

d)

$15.3$

30.

Find the value of x.

a)

$4.28$

b)

$0.84$

c)

$1.81$

d)

$0.93$

Sine, Cosine and Tangent

Total questions: 30

Worksheet time: 1hrs 7mins

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