Trigonometry Flashcards
5 cards from real MPT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 5 Trigonometry flashcards as text
What is the value of sin(30°)?
Answer: 1/2
The sine of 30° is a standard trigonometric value: sin(30°) = 1/2.
Which of the following is the correct identity for cos²(θ) + sin²(θ)?
Answer: 1
The Pythagorean identity states that: cos²(θ) + sin²(θ) = 1, which is a fundamental trigonometric identity.
Solve for θ: tan(θ) = 1
Answer: θ = 45°
The tangent of 45° is 1 because tan(45°) = sin(45°) / cos(45°) = 1/1 = 1.
What is the value of cos(π/3)?
Answer: 1/2
cos(π/3) corresponds to cos(60°), and the value of cos(60°) is 1/2.
If sin(θ) = 3/5, what is cos(θ) when θ is in the first quadrant?
Answer: 4/5
Use the Pythagorean identity: sin²(θ) + cos²(θ) = 1. (3/5)² + cos²(θ) = 1, 9/25 + cos²(θ) = 1, cos²(θ) = 1 - 9/25 = 16/25, cos(θ) = √(16/25) = 4/5.