Mastering Trigonometry Concepts

Graph the function y = sin(x) for one full cycle.

• Graph of y = sin(x) from x = 0 to x = 2π shows a straight line from (0,0) to (2π,0).

• Graph of y = sin(x) from x = 0 to x = 2π shows a wave starting at (0,0), peaking at (π/2,1), returning to (π,0), dipping to (3π/2,-1), and returning to (2π,0).

• Graph of y = sin(x) from x = 0 to x = π shows a wave peaking at (π/2,0.5) and returning to (π,0).

• Graph of y = sin(x) from x = 0 to x = 4π shows multiple cycles with peaks at (3π/2,1) and (5π/2,1).

Tags

CCSS.HSF-IF.C.7E

Graph the function y = cos(x) for one full cycle.

• The graph of y = cos(x) for one full cycle is a wave starting at (0,1), going down to (π/2,0), reaching (-1,π), going up to (3π/2,0), and returning to (2π,1).

• The graph of y = cos(x) has peaks at (π/4,1) and (5π/4,1).

• The graph of y = cos(x) starts at (0,0) and ends at (2π,0).

• The graph of y = cos(x) is a straight line from (0,1) to (2π,1).

Tags

CCSS.HSF-IF.C.7E

What is the value of sin(30°) in radians?

• 0.5

• 0.75

• 1.0

• 0.25

Tags

CCSS.HSF.TF.A.2

Convert 120° to radians.

• 3π/4

• 5π/6

• π/3

• 2π/3

Tags

CCSS.HSF.TF.A.1

Use the identity sin²(x) + cos²(x) = 1 to find cos(45°).

• 0

• √2/2

• 1/2

• √3/2

Tags

CCSS.HSF.TF.C.8

Apply the identity tan(x) = sin(x)/cos(x) to find tan(60°).

• 1

• √2

• 0

• √3

Tags

CCSS.HSF.TF.A.2

What is the sum of sin(30°) and sin(60°)?

• 1/2

• (1 + √3)/2

• 1

• √3/2

Tags

CCSS.HSF.TF.C.9

What is the difference of cos(90°) and cos(0°)?

• 1

• 0

• -1

• -2

Tags

CCSS.HSF.TF.A.2

Convert 3π/4 radians to degrees.

• 135 degrees

• 90 degrees

• 180 degrees

• 45 degrees

Tags

CCSS.HSF.TF.A.1

Graph the function y = tan(x) for one full cycle.

• Graph the function y = tan(x) from x = -π/2 to x = π/2, showing vertical asymptotes at x = -π/2 and x = π/2, with the curve passing through (-π/4, -1), (0, 0), and (π/4, 1).

• Graph y = tan(x) from x = -π to x = π, showing no asymptotes.

• Graph y = tan(x) from x = 0 to x = π, with asymptotes at x = 0 and x = π.

• Graph y = tan(x) from x = -π/4 to x = π/4, with points at (-π/4, 0), (0, 1), and (π/4, -1).