UTMA Trigonometry 1 — Questions and Answers
Question 1: What is sin(30°)?
- √3/2
- 1/2 (Correct answer)
- √2/2
- 1
Correct answer: 1/2
sin(30°) = 1/2 is a standard trigonometric value.
Question 2: In a right triangle with legs 3 and 4, what is cos of the angle adjacent to the leg of length 4?
- 3/5
- 4/5 (Correct answer)
- 3/4
- 4/3
Correct answer: 4/5
The hypotenuse is 5; cosine = adjacent/hypotenuse = 4/5.
Question 3: What is the value of tan(45°)?
- 0
- √2/2
- 1 (Correct answer)
- √3
Correct answer: 1
tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.
Question 4: Which trigonometric function equals the reciprocal of cosine?
- sine
- tangent
- secant (Correct answer)
- cosecant
Correct answer: secant
sec(θ) = 1/cos(θ) by definition.
Question 5: What is sin²(θ) + cos²(θ)?
- 0
- sin(2θ)
- 1 (Correct answer)
- 2
Correct answer: 1
The Pythagorean identity states sin²(θ) + cos²(θ) = 1 for all θ.
Question 6: Convert 180° to radians.
- π/2
- π (Correct answer)
- 2π
- 3π/2
Correct answer: π
180° × (π/180°) = π radians.
UTMA Trigonometry 1
What is sin(30°)?