MDTP Trigonometry 3

Question 1

What is the value of sin(π/6)?

Accepted Answer

1/2

Answer

π/6 = 30°, and sin(30°) = 1/2 from the standard unit circle values.

Question 2

What is the value of cos(π/2)?

Accepted Answer

0

Answer

π/2 = 90°, and cos(90°) = 0 because the x-coordinate at the top of the unit circle is 0.

Question 3

What is tan(π/4)?

Accepted Answer

1

Answer

π/4 = 45°, and tan(45°) = sin(45°)/cos(45°) = 1 because sine and cosine are equal at this angle.

Question 4

Which expression equals sin(2θ) according to the double angle formula?

Accepted Answer

2sin(θ)cos(θ)

Answer

The double angle formula for sine is sin(2θ) = 2sin(θ)cos(θ).

Question 5

What is the period of y = cos(2x)?

Accepted Answer

π

Answer

For y = cos(Bx), the period is 2π/B; with B = 2, the period is 2π/2 = π.

MDTP - Mathematics Diagnostic Testing Project Practice Test