Unit 1 Assessment Review

Unit 1 Assessment Review

Chapter 4 Sections 1, 2, 4, and 5

Section 4.1 - Radian and Degree Measure

• Convert angles from degrees to radians

• Find measures of coterminal angles

• Find measures of complements and supplements (in radians)

• Draw angles in standard position and determine the quadrant in which the terminal side lies

Multiple Select

Determine which angles are coterminal with

 $-\frac{2\pi}{15}$ (select all that apply) 

•  $\frac{13\pi}{15}$  

•  $\frac{28\pi}{15}$  

•  $\frac{43\pi}{15}$  

•  $-\frac{32\pi}{15}$  

Multiple Choice

Which angle is complementary to π/3?

• 2π/3

• π/6

• − 5π/3

• 5π/3

Multiple Choice

Which angle is supplementary to 3π/4?

• 6π/4

• 180°

• π/4

• − 5π/4

Multiple Choice

What is 7π/4 radians in degrees?

• 300

• 135

• 315

• 45

Multiple Choice

Which quadrant is -5π/6 in?

• I

• II

• III

• IV

Multiple Choice

Convert 100⁰ to radians

• 5π/9
• π/2
• 5π/8
• 5π/6

Section 4.4 - Trigonometric Functions of Any Angle

• Find exact values of six trigonometric functions given a point

• Find exact values of six trigonometric functions given a function value and a constraint

Multiple Choice

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

• 4

• 3

• 2

• 1

Multiple Choice

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

• 1

• 2

• 3

• 4

Multiple Choice

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

•  $-\frac{5\sqrt{3}}{9}$  

•  $\frac{\sqrt{6}}{3}$  

•  $\frac{5\sqrt{2}}{2}$  

•  $-\frac{5}{9}$  

Multiple Choice

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

•  $-\frac{3}{4}$  

•  $\frac{4}{5}$  

•  $\frac{4}{3}$  

•  $-\frac{5}{3}$  

Multiple Choice

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

•  $-\frac{3\sqrt{13}}{13}$ 

•  $-\frac{\sqrt{13}}{3}$ 

•  $\frac{3}{2}$ 

•  $\frac{\sqrt{13}}{3}$ 

Multiple Choice

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

•  $\frac{3\sqrt{5}}{5}$ 

•  $\frac{3}{2}$ 

•  $\frac{\sqrt{5}}{2}$ 

•  $-\frac{\sqrt{5}}{3}$ 

Sections 4.2 and 4.4: Unit Circle and Reference Angles

• Use the Unit Circle to Evaluate trigonometric functions

• Find the measures of reference angles

• Use reference angles to evaluate trigonometric functions

Multiple Choice

What is the exact value?

 $\cos\left(-\frac{13\pi}{6}\right)$  

• -1 / 2

• √3 / 2

• -√3 / 2

• 1 / 2

Multiple Choice

What is the reference angle for

 $\frac{2\pi}{3}$  

• pi/4

• 7pi/6

• 4pi/3

• pi/3

Multiple Choice

What is the reference angle for 63°?

• 117°

• 207°

• 63°

• 153°

Multiple Choice

What is sin(-660)?

• $\frac{\sqrt{3}}{2}$

• 1/2

• -1/2

• 1

Multiple Choice

What is the cos(585)?

• $\frac{1}{2}$
  

• $\frac{\sqrt{2}}{2}$

  
  

• $-\frac{\sqrt{2}}{2}$

• $-\frac{\sqrt{3}}{2}$

Multiple Choice

What is the reference angle for -310⁰?

• 50⁰

• -50⁰

• 20⁰

• 40⁰

Multiple Choice

What is the reference angle for 125°?

• 235°

• 125°

• 75°

• 55°

Multiple Choice

tan (-π)

• undefined

• 0

• 1

• -1

Multiple Choice

sec 3π/2

• 0

• undefined

• 1

• -1

Multiple Choice

Find the exact value of

 $\cos\left(\frac{5\pi}{6}\right)$  

• -√3/2

• -½

• -√2/2

• -1

Multiple Choice

What are the exact coordinates of 3π/4 on the unit circle?

• (−√2∕2, √2∕2)

• (−√2∕2, −√2∕2)

• (−√3∕2, −√2∕2)

• (√2∕2, −√2∕2)

Multiple Choice

Find the exact value of sin 2π/3

• 1/2

• -1/2

• √3/2

• -√3/2

Multiple Choice

Find the exact value of cos 5π/6

• -1/2

• 1/2

• √3/2

• -√3/2

Section 4.5: Graphs of Sine and Cosine

• Graph transformations of sine and cosine

• Write equations of sinusoids given a graph

• Write equation of sinusoid to model a real life situation

Multiple Choice

what is the amplitude of
y = 3sin (7x) -2

• 7
• -2
• 3
• 6

Multiple Choice

What is the period of y=4cos5x

• 2π/5
• π
• 5
• 5π

Multiple Choice

Which of the following is the table of values for

 $y=3\sin2\left(x+\pi\right)+2$  

Multiple Choice

Which of the following is the table of values for

 $y=-2\cos\frac{\pi}{4}\left(x-2\right)+3$  

Multiple Choice

Write the equation for a sine function with an amplitude of 6 and a period of π/4 and no phase shift.

• y=6sin(8x)

• y=6sin8(x-1)

• y=6sin1/4x

• y=6sinx

Multiple Choice

What is the period?

• $\frac{\pi}{2}$

• $\pi$

• $\frac{3\pi}{2}$

• $2\pi$

Multiple Choice

What is the the amplitude of the graphed function?

• 5
• 4
• 3
• 2

Multiple Choice

A weight attached to the end of a long spring is bouncing up and down. As it bounces, its distance from the floor varies sinusoidally with time. You start a stopwatch. When the stopwatch reads 0.3 seconds, the weight first reaches a high point 60 cm above the floor. The next low point, 40 cm above the floor, occurs at 1.8 seconds. Write a cosine model to represent the height of the weight as a function of time.

• $y=10\cos3x+50$

• $y=10\cos3(x-0.3)+50$

• $y=10\cos\frac{2\pi}{3}\left(x-0.3\right)+50$

• $y=-10\cos\frac{2\pi}{3}\left(x-0.3\right)+50$