Trigonometry Flashcards

What is the value of cos(0°)?

Answer: 1

At 0°, the point on the unit circle is (1, 0), so the cosine (x-coordinate) equals 1.

What is the value of tan(0°)?

Answer: 0

tan(0°) = sin(0°)/cos(0°) = 0/1 = 0.

Which trigonometric function has a period of π instead of 2π?

Answer: tan(x)

The tangent function repeats every π radians because it has vertical asymptotes at every π/2 interval.

If sin(θ) = 1/2, what is one value of θ in the interval [0°, 360°)?

Answer: 30°

sin(30°) = 1/2, making 30° one solution for the equation in the given interval.

What is the range of y = sin(x)?

Answer: [−1, 1]

The sine function oscillates between −1 and 1 inclusive, so its range is [−1, 1].

What is cos(π/3)?

Answer: 1/2

π/3 radians = 60°, and cos(60°) = 1/2 from the standard 30-60-90 triangle.

What is the amplitude of y = 3sin(2x)?

Answer: 3

For y = A·sin(Bx), the amplitude is |A|; here A = 3, so the amplitude is 3.