Free Printable Unit 10 Exam: Trigonometry

1.

Given $\tan A=-\frac{\sqrt{153}}{4}$ and that angle $A$ is in Quadrant IV, find the exact value of $\sec A$ in simplest radical form using a rational denominator.

(a)

2.

The point $P=\left(-\frac{\sqrt{45}}{7},\ y\right)$ lies on the unit circle shown. What is the value of $y$ in simplest form?

(a)

3.

If $\theta$ is an angle is standard position and its terminal side passes through the point $\left(-12,\ 35\right)$ , find the exact value of $\csc\theta$ in simplest radical form.

(a)

4.

Write a cosine function that has an amplitude of 3, a midline of 4 and a period of $\frac{\pi}{7}$ .

(a)

5.

Determine the equation of the midline of the following graph. Click on the picture to enlarge, if needed.

(a)

6.

Write the equation of the trigonometric graph. Click on the picture to enlarge, if needed.

(a)

7.

For the rotation $642\degree$ , which of the following is NOT true?

a)

There is a coterminal angle of $282\degree$ .

b)

The angle lies in Quadrant IV.

c)

The reference angle is $78\degree$

d)

The reference angle is $12\degree$

8.

In $\Delta LMN$ , the measure of $\angle N=90\degree,\ MN=60,\ ML=61$ and $NL=11.$ What ratio represents the cotangent of $\angle L$ ?

a)

11/60

b)

60/11

c)

11/61

d)

61/60

9.

Which of the following represents the period of the graph shown? Click on the picture to enlarge, if needed.

a)

$\pi$

b)

$2\pi$

c)

2

d)

$\frac{5\pi}{4}$

10.

Which equation represents the graph shown? Click on the picture to enlarge, if needed.

a)

$y=500\sin\left(\frac{\pi}{40}x\right)-200$

b)

$y=500\cos\left(\frac{\pi}{80}x\right)-200$

c)

$y=500\sin\left(\frac{\pi}{80}x\right)-200$

d)

$y=500\cos\left(\frac{\pi}{40}x\right)-200$

Unit 10 Exam: Trigonometry

Total questions: 10

Worksheet time: 3hrs 30mins

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