Sine, Cosine, and Tangent

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

What is the sine of 30 degrees?

Back

sin(30) = 0.5

Front

What is the cosine of 60 degrees?

Back

cos(60) = 0.5

Front

What is the tangent of 45 degrees?

Back

tan(45) = 1

Front

If sin(θ) = 0.6, what is the value of cos(θ) using the Pythagorean identity?

Back

cos(θ) = √(1 - sin²(θ)) = √(1 - 0.6²) = √(0.64) = 0.8

Front

How do you find the length of a side using sine?

Back

Use the formula: opposite = hypotenuse * sin(θ).

Front

How do you find the length of a side using cosine?

Back

Use the formula: adjacent = hypotenuse * cos(θ).

Front

How do you find the length of a side using tangent?

Back

Use the formula: opposite = adjacent * tan(θ).