Sine, Cosine, and Tangent Review

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the definition of cosine in a right triangle?

Back

Cosine (cos) is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the definition of tangent in a right triangle?

Back

Tangent (tan) is the ratio of the length of the opposite side to the length of the adjacent side.

Front

Calculate sin(30°).

Back

0.5

Front

Calculate cos(60°).

Back

0.5

Front

Calculate tan(45°).

Back

1

Front

If sin Z = 5/13, what is cos Z?

Back

cos Z = 12/13 (using the Pythagorean identity).

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Front

If tan A = 3/4, what is sin A?

Back

sin A = 3/5 (using the Pythagorean theorem to find the hypotenuse).

Front

What is the relationship between sine, cosine, and tangent?

Back

tan(θ) = sin(θ) / cos(θ).