MPT Trigonometry 1 — Questions and Answers
Question 1: What is the value of sin(30°)?
- 0
- √2/2
- 1/2 (Correct answer)
- √3/2
Correct answer: 1/2
The sine of 30° is a standard trigonometric value: <br> sin(30°) = 1/2.
Question 2: Which of the following is the correct identity for cos²(θ) + sin²(θ)?
- 1 (Correct answer)
- 0
- tan(θ)
- sec(θ)
Correct answer: 1
The Pythagorean identity states that: cos²(θ) + sin²(θ) = 1, which is a fundamental trigonometric identity.
Question 3: Solve for θ: tan(θ) = 1
- θ = 45° (Correct answer)
- θ = 90°
- θ = 30°
- θ = 60°
Correct answer: θ = 45°
The tangent of 45° is 1 because tan(45°) = sin(45°) / cos(45°) = 1/1 = 1.
Question 4: What is the value of cos(π/3)?
- 1/2 (Correct answer)
- √3/2
- 1
- 0
Correct answer: 1/2
cos(π/3) corresponds to cos(60°), and the value of cos(60°) is 1/2.
Question 5: If sin(θ) = 3/5, what is cos(θ) when θ is in the first quadrant?
- 4/5 (Correct answer)
- 3/5
- 5/4
- 2/5
Correct answer: 4/5
Use the Pythagorean identity: <br> sin²(θ) + cos²(θ) = 1. <br> (3/5)² + cos²(θ) = 1, <br> 9/25 + cos²(θ) = 1, <br> cos²(θ) = 1 - 9/25 = 16/25, <br> cos(θ) = √(16/25) = 4/5.
MPT Trigonometry 1
What is the value of sin(30°)?