Trigonometry and Waves Quiz

If cos x = -2/3 and sin x < 0, find sin x.

• -√5/9

• -5/9

• -√5/3

• -1/3

• -√14/9

The following graph contains the pure form of a 8 Hz (cycles per second) wave for a time interval of one second. What is the period?

• 0.125

• 8

• π/4

• 4π/τ

• 2

Convert (7π/6) to degrees.

• A) 30°

• B) 150°

• C) 210°

• D) -30°

• E) 135°

If f(x) = sin 2x, find f(5π/6).

• A) (√3/2)

• B) (-√2/2)

• C) 0.09

• D) (-√3/2)

• E) (-1/2)

Find cot(π/2).

• A) 1

• B) 0

• C) undefined

• D) -1

• E) None of these

Calculate cos(π/2 - θ).

• A) cos(-θ)

• B) sin(θ)

• C) sin(-θ)

• D) 1 + cos(-θ)

• E) None of these

If you are solving the SSA (side, side, angle) case of a triangle where none of the angles are 90 degrees, how many solutions for the triangle are possible?

• A) 0 only

• B) 1 only

• C) 2 only

• D) 0 or 1 only

• E) 0, 1 or 2

Calculate cot^2 θ sin θ sec θ.

• A) sin θ

• B) cot θ

• C) tan θ

• D) cot^2 θ

• E) sin^2 θ

Solve (2cos x - 1)(cos x + 1) = 0 in the interval 0 < x < 360°.

• A) 30°, 270°

• B) 45°, 90°

• C) 30°, 150°

• D) 30°, 210°

• E) 60°, 180°, 300°

Calculate tan^2 θ - sec^2 θ.

• A) 1

• B) cos^2 θ

• C) -1

• D) csc^2 θ

• E) none of these