MDTP Trigonometry 2

Question 1

What is the value of cos(0°)?

Accepted Answer

1

Answer

At 0°, the point on the unit circle is (1, 0), so the cosine (x-coordinate) equals 1.

Question 2

What is the value of tan(0°)?

Accepted Answer

0

Answer

tan(0°) = sin(0°)/cos(0°) = 0/1 = 0.

Question 3

Which trigonometric function has a period of π instead of 2π?

Accepted Answer

tan(x)

Answer

The tangent function repeats every π radians because it has vertical asymptotes at every π/2 interval.

Question 4

If sin(θ) = 1/2, what is one value of θ in the interval [0°, 360°)?

Accepted Answer

30°

Answer

sin(30°) = 1/2, making 30° one solution for the equation in the given interval.

Question 5

What is the range of y = sin(x)?

Accepted Answer

[−1, 1]

Answer

The sine function oscillates between −1 and 1 inclusive, so its range is [−1, 1].

MDTP - Mathematics Diagnostic Testing Project Practice Test