Trigonometry Flashcards

What is the value of sin(30°)?

Answer: 1/2

sin(30°) = 1/2, a standard value from the 30-60-90 triangle where the opposite side is half the hypotenuse.

What is the value of cos(60°)?

Answer: 1/2

cos(60°) = 1/2, derived from the 30-60-90 triangle where the adjacent side to 60° is half the hypotenuse.

What is the value of tan(45°)?

Answer: 1

tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.

Convert 180° to radians.

Answer: π

Multiplying 180° by π/180 gives π radians; a half-circle equals π radians.

Which of the following is the fundamental Pythagorean identity?

Answer: sin²(θ) + cos²(θ) = 1

sin²(θ) + cos²(θ) = 1 follows directly from the Pythagorean theorem applied to a point on the unit circle.

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

Answer: 2π

The sine function completes one full cycle over an interval of 2π radians.

What is sin(90°)?

Answer: 1

At 90°, the point on the unit circle is (0, 1), so sin(90°) = 1, the maximum value of sine.