MPT Trigonometry 2 — Questions and Answers
Question 1: What is the exact value of tan(135°)?
- -1 (Correct answer)
- 1
- √2
- -√2
Correct answer: -1
tan(135°) = tan(180° - 45°) = -tan(45°) = -1.
Question 2: If sec(θ) = 2, what is cos(θ)?
- 2
- 1/2 (Correct answer)
- -1/2
- -2
Correct answer: 1/2
sec(θ) = 1/cos(θ), so cos(θ) = 1/sec(θ) = 1/2.
Question 3: Convert 5π/6 radians to degrees.
- 120°
- 135°
- 150° (Correct answer)
- 160°
Correct answer: 150°
5π/6 × (180°/π) = 5 × 30° = 150°.
Question 4: Which identity is equivalent to sin²(θ) + cos²(θ)?
- 0
- 2
- 1 (Correct answer)
- sin(2θ)
Correct answer: 1
The Pythagorean identity states sin²(θ) + cos²(θ) = 1 for all θ.
Question 5: What is the period of y = sin(3x)?
- π/3
- 2π/3 (Correct answer)
- 3π
- 6π
Correct answer: 2π/3
The period of y = sin(bx) is 2π/b = 2π/3.
Question 6: In a right triangle, if the opposite side is 5 and the hypotenuse is 13, what is sin(θ)?
- 5/12
- 12/13
- 5/13 (Correct answer)
- 13/5
Correct answer: 5/13
sin(θ) = opposite/hypotenuse = 5/13.
Question 7: What is the value of cot(90°)?
- 1
- 0 (Correct answer)
- undefined
- -1
Correct answer: 0
cot(90°) = cos(90°)/sin(90°) = 0/1 = 0.
MPT Trigonometry 2
What is the exact value of tan(135°)?