Trigonometry Flashcards

6 cards from real AMC12 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Trigonometry flashcards as text

What is sin(30°)?
Answer: 1/2
sin(30°) = 1/2, a standard value from the 30-60-90 triangle.
What is cos(π)?
Answer: −1
cos(π) = −1 since π radians corresponds to 180°.
Simplify sin²(θ) + cos²(θ).
Answer: 1
The Pythagorean identity states sin²(θ) + cos²(θ) = 1 for all θ.
What is the period of y = sin(2x)?
Answer: π
The period of sin(bx) is 2π/b = 2π/2 = π.
In a right triangle with hypotenuse 10 and one angle 30°, the side opposite that angle has length:
Answer: 5
Opposite = hypotenuse × sin(30°) = 10 × 1/2 = 5.
What is tan(45°)?
Answer: 1
tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.