MDTP Trigonometry 1 — Questions and Answers
Question 1: What is the value of sin(30°)?
- 1/2 (Correct answer)
- √3/2
- √2/2
- 1
Correct answer: 1/2
sin(30°) = 1/2, a standard value from the 30-60-90 triangle where the opposite side is half the hypotenuse.
Question 2: What is the value of cos(60°)?
- √3/2
- 1/2 (Correct answer)
- √2/2
- 0
Correct answer: 1/2
cos(60°) = 1/2, derived from the 30-60-90 triangle where the adjacent side to 60° is half the hypotenuse.
Question 3: What is the value of tan(45°)?
- 0
- √3
- 1/√3
- 1 (Correct answer)
Correct answer: 1
tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.
Question 4: Convert 180° to radians.
- π/2
- 2π
- π (Correct answer)
- π/4
Correct answer: π
Multiplying 180° by π/180 gives π radians; a half-circle equals π radians.
Question 5: Which of the following is the fundamental Pythagorean identity?
- sin(θ) + cos(θ) = 1
- sin²(θ) + cos²(θ) = 1 (Correct answer)
- sin²(θ) − cos²(θ) = 1
- tan²(θ) + 1 = sin²(θ)
Correct answer: sin²(θ) + cos²(θ) = 1
sin²(θ) + cos²(θ) = 1 follows directly from the Pythagorean theorem applied to a point on the unit circle.
Question 6: What is the period of y = sin(x)?
- π/2
- π
- 2π (Correct answer)
- 4π
Correct answer: 2π
The sine function completes one full cycle over an interval of 2π radians.
Question 7: What is sin(90°)?
- 0
- 1/2
- √2/2
- 1 (Correct answer)
Correct answer: 1
At 90°, the point on the unit circle is (0, 1), so sin(90°) = 1, the maximum value of sine.
MDTP Trigonometry 1
What is the value of sin(30°)?