Free Printable Level Unit 6 Review Mixed Practice

1.

Which of the following trig ratios are correct? Select TWO correct answers. (Simply if needed)

a)

sin A = 4/5

b)

tan A = 3/5

c)

sec A = 5/4

d)

cot A = 4/3

2.

Which of the following trig ratios are correct? Select TWO correct answers. (Simply if needed)

a)

cos X = 15/17

b)

tan X = 15/8

c)

sec X= 8/15

d)

csc X = 17/8

3.

Which of the following trig ratios are correct? Select TWO correct answers. (Simply if needed)

a)

$\tan L=\frac{5}{2}$

b)

$\sin L=\frac{2\sqrt[]{29}}{29}$

c)

$\csc L=\frac{\sqrt[]{29}}{5}$

d)

$\sec L=\frac{\sqrt[]{29}}{5}$

4.

Find the value of sec N. Show your answer in the simplest radical.

a)

$\sec N\ =\ \frac{5}{3}$

b)

$\sec N=\frac{5\sqrt[]{34}}{34}$

c)

$\sec N=\frac{3\sqrt[]{34}}{34}$

d)

$\sec N=\frac{\sqrt[]{34}}{5}$

e)

$\sec N=\frac{\sqrt[]{34}}{3}$

5.

Find the value of csc Z. Show your answer in the simplest radical.

a)

$\csc Z\ =\ \frac{1}{2}$

b)

$\csc Z=2$

c)

$\csc Z=\frac{\sqrt[]{5}}{2}$

d)

$\csc Z=\sqrt[]{5}$

e)

$\csc Z=\frac{\sqrt[]{5}}{5}$

6.

In $\Delta KLM,\ m\angle K=90\degree,\ ML=37\ and\ KM=12.\$ Find the value of tanM

(Draw diagram)

a)

$\tan M\ =\ \frac{12}{37}$

b)

$\tan M=\frac{37}{12}$

c)

$\tan M=\frac{35}{12}$

d)

$\tan M=\frac{35}{37}$

e)

$\tan M=\frac{12}{35}$

7.

Find all possible ways to find the value of x. Select ALL correct answers.

a)

$x=t\cos\left(68\degree\right)$

b)

$x=\frac{y}{\tan\left(68\degree\right)}$

c)

$x=t\cos\left(22\degree\right)$

d)

$x=t\sin\left(22\degree\right)$

e)

$x=y\tan\left(68\degree\right)$

8.

Find all possible ways to find the value of x. Select ALL correct answers.

a)

$x=h\sin\left(52\degree\right)$

b)

$x=k\tan\left(52\degree\right)$

c)

$x=h\cos\left(38\degree\right)$

d)

$x=k\sin\left(38\degree\right)$

e)

$x=k\tan\left(38\degree\right)$

9.

Find missing side w.

a)

$9.235$

b)

$19.04$

c)

$11.72$

d)

$24.36$

e)

11.82

10.

Find missing side LN.

a)

$22.21$

b)

$64.50$

c)

$7.23$

d)

$19.86$

e)

$6.837$

11.

Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.

a)

62.52 ft

b)

64.74 ft

c)

93.20 ft

d)

86.91 ft

12.

A ladder is leaning up against a wall. The top of the ladder makes a $62\degree$ angle with the wall. The distance between the base of the ladder and the wall is 5 m. Find the length of the ladder.

a)

10.65 m

b)

5.663 m

c)

4.415 m

d)

2.347 m

e)

6.400 m

13.

Find the value of missing angle x.

a)

$36.87\degree$

b)

$53.13\degree$

c)

$48.59\degree$

d)

$41.41\degree$

14.

Find the measure of the missing angle.

a)

49.46^o

b)

56.98^o

c)

40.54^o

d)

33.02^o

15.

Find the measure of $\angle X$

a)

$41.14\degree$

b)

$48.86\degree$

c)

$33.34\degree$

d)

$56.66\degree$

16.

A 16 foot ladder leans against a building. If the ladder reaches 14 ft high up the building, find the measure of the angle between the ladder and the ground.

a)

$28.96\degree$

b)

$41.19\degree$

c)

$61.04\degree$

d)

$48.81\degree$

17.

Find the missing sides of the triangle.

a)

b)

c)

d)

18.

Find the missing sides of the triangle.

a)

b)

c)

d)

19.

Find the missing sides x.

a)

$x=5$

b)

$x=5\sqrt[]{12}$

c)

$x=5\sqrt[]{2}$

d)

$x=5\sqrt[]{3}$

20.

Find the missing sides of the triangle.

a)

b)

c)

d)

21.

Find the missing sides of the triangle.

a)

b)

c)

d)

22.

Find the missing sides of the triangle.

a)

b)

c)

d)

23.

Find the missing sides of the triangle.

a)

$x=4\sqrt[]{3};\ y=8\sqrt[]{3}$

b)

$x=6\sqrt[]{2};\ y=12\sqrt[]{2}$

c)

$x=12\sqrt[]{3};\ y=24\sqrt[]{3}$

d)

$x=6;\ y=6\sqrt[]{3}$

24.

By using unit circle, find the exact value of $\sin\left(150\degree\right)$

a)

$\sin\left(150\degree\right)=-\frac{1}{2}$

b)

$\sin\left(150\degree\right)=\frac{\sqrt[]{3}}{2}$

c)

$\sin\left(150\degree\right)=\frac{1}{2}$

d)

$\sin\left(150\degree\right)=-\frac{\sqrt[]{3}}{2}$

e)

$\sin\left(150\degree\right)=-\frac{\sqrt[]{3}}{3}$

25.

By using Unit circle, find the exact value of $\tan\left(240\degree\right)$

a)

$\tan\left(240\degree\right)=-\frac{1}{2}$

b)

$\tan\left(240\degree\right)=-\frac{\sqrt[]{3}}{2}$

c)

$\tan\left(240\degree\right)=-\sqrt[]{3}$

d)

$\tan\left(240\degree\right)=\sqrt[]{3}$

e)

$\tan\left(240\degree\right)=\frac{1}{\sqrt[]{3}}$

26.

By using Unit Circle, find the exact value of $\tan\left(270\degree\right)$

a)

$\tan\left(270\degree\right)=0$

b)

$\tan\left(270\degree\right)=1$

c)

$\tan\left(270\degree\right)=-1$

d)

$\tan\left(270\degree\right):\ undefined$

27.

By using Unit Circle, find the exact value of $\sin\left(180\degree\right)$

a)

$\sin\left(180\degree\right)=0$

b)

$\sin\left(180\degree\right)=1$

c)

$\sin\left(180\degree\right)=-1$

d)

$\sin\left(180\degree\right):\ undefined$

28.

By using Unit Circle, find the exact value of $\tan\left(150\degree\right)$

a)

$\tan\left(150\degree\right)=\sqrt[]{3}$

b)

$\tan\left(150\degree\right)=-\sqrt[]{3}$

c)

$\tan\left(150\degree\right)=-\frac{\sqrt[]{3}}{3}$

d)

$\tan\left(150\degree\right)=\frac{\sqrt[]{3}}{3}$

e)

$\tan\left(150\degree\right)=-\frac{\sqrt[]{2}}{2}$

29.

By using Unit Circle, find the exact value of $\tan\left(135\degree\right)$

a)

$\tan\left(135\degree\right)=1$

b)

$\tan\left(135\degree\right)=-1$

c)

$\tan\left(135\degree\right)=-\frac{\sqrt[]{2}}{2}$

d)

$\tan\left(135\degree\right)=\frac{\sqrt[]{2}}{2}$

e)

$\tan\left(135\degree\right)=-\sqrt[]{2}$

30.

By using Unit Circle, find the exact value of $\cos\left(330\degree\right)$

a)

$\cos\left(330\degree\right)=-\frac{\sqrt[]{3}}{2}$

b)

$\cos\left(300\degree\right)=-\frac{1}{2}$

c)

$\cos\left(330\degree\right)=-\frac{\sqrt[]{2}}{2}$

d)

$\cos\left(330\degree\right)=\frac{\sqrt[]{3}}{2}$

e)

$\cos\left(330\degree\right)=\frac{1}{2}$

31.

By using Unit Circle, find the exact value of $\cos\left(60\degree\right)$

a)

$\cos\left(60\degree\right)=-\frac{\sqrt[]{3}}{2}$

b)

$\cos\left(60\degree\right)=-\frac{1}{2}$

c)

$\cos\left(60\degree\right)=\frac{\sqrt[]{2}}{2}$

d)

$\cos\left(60\degree\right)=\frac{\sqrt[]{3}}{2}$

e)

$\cos\left(60\degree\right)=\frac{1}{2}$

32.

By using Unit Circle, find the exact value of $\sin\left(300\degree\right)$

a)

$\sin\left(300\degree\right)=-\frac{\sqrt[]{3}}{2}$

b)

$\sin\left(300\degree\right)=-\frac{1}{2}$

c)

$\sin\left(300\degree\right)=-\frac{\sqrt[]{2}}{2}$

d)

$\sin\left(300\degree\right)=\frac{\sqrt[]{3}}{2}$

e)

$\sin\left(300\degree\right)=\frac{1}{2}$

33.

By using Unit Circle, find the exact value of $\sec\left(60\degree\right)$

a)

$\sec\left(60\degree\right)=\frac{2\sqrt[]{3}}{3}$

b)

$\sec\left(60\degree\right)=-\frac{1}{2}$

c)

$\sec\left(60\degree\right)=2$

d)

$\sec\left(60\degree\right)=\frac{1}{2}$

e)

$\sec\left(300\degree\right)=-2$

34.

By using Unit Circle, find the exact value of $\sec\left(135\degree\right)$

a)

$\sec\left(135\degree\right)=-\frac{\sqrt[]{2}}{2}$

b)

$\sec\left(135\degree\right)=\frac{\sqrt[]{2}}{2}$

c)

$\sec\left(135\degree\right)=\sqrt[]{2}$

d)

$\sec\left(135\degree\right)=-\sqrt[]{2}$

e)

$\sec\left(135\degree\right)=-1$

35.

By using Unit Circle, find the exact value of $\csc\left(240\degree\right)$

a)

$\csc\left(240\degree\right)=-\frac{2\sqrt[]{3}}{3}$

b)

$\csc\left(240\degree\right)=-\frac{\sqrt[]{2}}{2}$

c)

$\csc\left(240\degree\right)=-\frac{\sqrt[]{3}}{2}$

d)

$\csc\left(240\degree\right)=-2$

e)

$\csc\left(240\degree\right)=\frac{2\sqrt[]{3}}{3}$

36.

By using Unit Circle, find the exact value of $\csc\left(180\degree\right)$

a)

$\csc\left(180\degree\right)=-1$

b)

$\csc\left(180\degree\right)=1$

c)

$\csc\left(180\degree\right)=0$

d)

$\csc\left(180\degree\right):\ Undefined$

37.

By using Unit Circle, find the exact value of $\cot\left(315\degree\right)$

a)

$\cot\left(315\degree\right)=-1$

b)

$\cot\left(315\degree\right)=1$

c)

$\cot\left(315\degree\right)=-\sqrt[]{2}$

d)

$\cot\left(315\degree\right)=-\frac{\sqrt[]{2}}{2}$

e)

$\cot\left(315\degree\right)=\frac{\sqrt[]{2}}{2}$

38.

By using Unit Circle, find the exact value of $\cot\left(30\degree\right)$

a)

$\cot\left(30\degree\right)=\frac{\sqrt[]{3}}{3}$

b)

$\cot\left(30\degree\right)=-\frac{\sqrt[]{3}}{3}$

c)

$\cot\left(30\degree\right)=\sqrt[]{3}$

d)

$\cot\left(30\degree\right)=-\sqrt[]{3}$

e)

$\cot\left(30\degree\right)=\sqrt[]{2}$

39.

Which two angles on the unit circle have a sine value of $-\frac{1}{2}$ Select TWO correct answers

a)

$30\degree$

b)

$150\degree$

c)

$210\degree$

d)

$240\degree$

e)

$330\degree$

40.

Which two angles on the unit circle have a cosine value of $\frac{\sqrt[]{2}}{2}\ ?$ . Select TWO correct answers

a)

$45\degree$

b)

$135\degree$

c)

$225\degree$

d)

$315\degree$

e)

$330\degree$

41.

Which two angles on the unit circle have a tangent value of $\sqrt[]{3}\ \ \ ?$ . Select ALL correct answers

a)

$30\degree$

b)

$60\degree$

c)

$120\degree$

d)

$240\degree$

e)

$300\degree$

Level Unit 6 Review Mixed Practice

Total questions: 41

Worksheet time: 57mins

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