Free Printable Trigonometry Review

1.

(LEVEL 2) When calculating the tangent ratio of a given angle, what sides of the right triangle are used? (select all that apply)

a)

Adjacent Leg

b)

Hypotenuse

c)

Opposite Leg

d)

Congruent Legs

2.

(LEVEL 2) The (a) ratio is defined as the ratio comparing the adjacent leg to its hypotenuse.

3.

(LEVEL 2) If $\Delta$ DEF is equilateral and its perimeter is 30 cm, what is the value of x?

a)

x = 10

b)

x = 10 $\sqrt{2}$

c)

x = 10 $\sqrt{3}$

d)

x = 5 $\sqrt{3}$

4.

(LEVEL 2) Which setup(s) would calculate the measure of angle Y? Select all that apply.

a)

$\tan^{-1}\left(\frac{32}{60}\right)$

b)

$\sin^{-1}\left(\frac{60}{68}\right)$

c)

$\cos^{-1}\left(\frac{68}{60}\right)$

d)

$\sin^{-1}\left(\frac{32}{68}\right)$

e)

$\cos^{-1}\left(\frac{60}{68}\right)$

5.

(LEVEL 2) Which statement is false based on the picture?

a)

sin Y = $\frac{20}{52}$

b)

cos X = $\frac{52}{20}$

c)

tan X = $\frac{48}{20}$

d)

tan Y = $\frac{20}{48}$

6.

(LEVEL 3) Suppose $\Delta DEF$ is equilateral. If x = 12, what is the perimeter of the triangle?

a)

P = 36

b)

P = 72

c)

P = $36\sqrt{2}$

d)

P = $24\sqrt{3}$

7.

(LEVEL 3) PQRS is a rhombus such that diagonals QS and PR are length 30 and 16, respectively. What is the measurement of $\angle SRQ$ ? Round to one decimal place.

(a)

8.

(LEVEL 3) A bird sitting on top of a telephone pole sees a worm at the base of a tree. If the bird looks down at a 63° angle and the telephone pole is 18 meters tall, how far away is the bird from the worm? Round to the nearest meter.

(a)

9.

(LEVEL 3) Identify the exact value of x.

a)

x = 11

b)

x = $22\sqrt{2}$

c)

x = $11\sqrt{2}$

d)

x = $\frac{11}{\sqrt{2}}$

10.

(LEVEL 3) If ABCD is a rectangle, then the perimeter of ABCD (rounded to the nearest tenths) is (a) .

11.

(LEVEL 3) Explain why sin ( $\theta$ ) = cos( 90 - $\theta$ ).

4 lines

Trigonometry Review

Total questions: 11

Worksheet time: 26mins

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