10th Grade Trigonometry

Solve the trigonometric equation: sin(x) = 0.5 for 0 ≤ x ≤ 2π.

• x = π/6, 5π/6

• x = π/4, 3π/4

• x = π/3, 2π/3

• x = π/2, 3π/2

Graph the function y = cos(2x) on the interval [0, 2π].

• The function y = cos(2x) has no graph on the interval [0, 2π]

• The graph of y = cos(2x) on the interval [0, 2π] is a parabola

• Graph of y = cos(2x) on the interval [0, 2π] is a straight line

• Graph of y = cos(2x) on the interval [0, 2π] is a wave that starts at 1, dips to -1, rises back to 1, and repeats every π units.

Find the missing side in a right triangle with an angle of 30 degrees and a hypotenuse of 10 units.

• 8 units

• 7 units

• 5 units

• 3 units

What is the value of sin(π/4)?

• 0.5

• √2 / 2

• 1

• 1/2

Solve the equation: 2cos(x) = √3 for 0 ≤ x ≤ 2π.

• x = π/3, 2π/3

• x = 3π/4, 7π/4

• x = π/6, 5π/6

• x = 0, 2π

Graph the function y = tan(x) on the interval [-π/2, π/2].

• Graphing the function y = sin(x) instead

• Plotting points at x = -π, -π/3, π/3, and π

• Drawing horizontal asymptotes at y = ±π/2

• Graphing the function y = tan(x) on the interval [-π/2, π/2] involves plotting points at x = -π/2, -π/4, 0, π/4, and π/2, and drawing vertical asymptotes at x = ±π/2.

Determine the reference angle for an angle of -5π/4.

• -3π/4

• 3π/4

• 7π/4

• π/4

Calculate the value of cos(3π/2).

• 1

• 2

• 0

• -1

Find the exact value of sin(π/6).

• 1/2

• 1/4

• 1/3

• 1

Solve the equation: 3sin(x) = 1 for 0 ≤ x ≤ 2π.

• x = π/2, 3π/2

• x = π/3, 2π/3

• x = π/4, 3π/4

• x = π/6, 5π/6