MDTP Trigonometry 2 — Questions and Answers
Question 1: What is the value of cos(0°)?
- 0
- 1/2
- 1 (Correct answer)
- -1
Correct answer: 1
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°)?
- 1
- undefined
- 0 (Correct answer)
- -1
Correct answer: 0
tan(0°) = sin(0°)/cos(0°) = 0/1 = 0.
Question 3: Which trigonometric function has a period of π instead of 2π?
- sin(x)
- cos(x)
- tan(x) (Correct answer)
- sec(x)
Correct answer: tan(x)
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°)?
- 45°
- 30° (Correct answer)
- 60°
- 90°
Correct answer: 30°
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)?
- [0, 1]
- (−∞, ∞)
- [−1, 1] (Correct answer)
- [0, 2π]
Correct answer: [−1, 1]
The sine function oscillates between −1 and 1 inclusive, so its range is [−1, 1].
Question 6: What is cos(π/3)?
- √3/2
- 1/2 (Correct answer)
- √2/2
- 1
Correct answer: 1/2
π/3 radians = 60°, and cos(60°) = 1/2 from the standard 30-60-90 triangle.
Question 7: What is the amplitude of y = 3sin(2x)?
- 2
- 6
- π
- 3 (Correct answer)
Correct answer: 3
For y = A·sin(Bx), the amplitude is |A|; here A = 3, so the amplitude is 3.
MDTP Trigonometry 2
What is the value of cos(0°)?