Unit 3 Multiple Choice Questions

An experiment at a science laboratory generates waves based on wind speed. The following data is collected for 32 seconds. Let V represent the wind speed in feet per second and let t represent the time in seconds. Write a sine equation that describes the wave.

Which equation represents the graph shown below?

• y = 2 sin(3x)

• y = 2 sin(1/3 x)

• y = 3 sin(1/2 x)

• y = 3 sin(2x)

Tags

CCSS.HSF-IF.C.7E

Find the phase shift for the function f, given f(x) = 2 sin (x - π/4) + 3

• 2 units up

• 2 units down

• π/4 units right

• π/4 units left

Tags

CCSS.HSF-IF.C.7E

Simplify the identity. sin²(x) + sin²(x) cot²(x)

• 1

• cot²(x) + 1

• sin²(x) + 1

• cot²(x) - 1

Simplify the expression. (cos(x)/(1+sin(x))) + tan(x)

• sin²(x)

• 1

• sec(x)

• cos(x) + sin(x)

Find the exact value of the expression 2 sin(π/4) + 3 tan(3π/4)

• √2 + 3

• √2 - 3

• (√2 - 3)/2

• (√2 - 2)/√2

Tags

CCSS.HSF.TF.C.9

Brian finds that the current flowing through a circuit at time t is I(t) = 120 sin(75πt). What is the period and amplitude of the current?

• Period: 75π seconds; Amplitude: 2/25

• Period: 2/75 seconds; Amplitude: 120

• Period: 1/450 seconds; Amplitude: 450

• Period: π/120 seconds; Amplitude: 75

Graph y = 2 cos(x + π/2) - 1

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Find sin θ, if cos θ = 4/9 and tan θ < 0

• -9/4

• -√65/4

• -√65/9

• -√65

Tags

CCSS.HSF.TF.C.8

Find the amplitude, period, and phase shift of y = -2 sin [3(x - π/3)]

• amplitude: -2, period: 2π, phase shift: -π/3

• amplitude: 2, period: 2π/3, phase shift: π/3

• amplitude: -2, period: π, phase shift: π

• amplitude: 2, period: 2π/3, phase shift: -π

Tags

CCSS.HSF-IF.C.7E