Sine and Cosine

Front

What is the definition of sine in a right triangle?

Back

Sine (sin) of an angle 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) of an angle 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) of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If angle x is 30 degrees, what is sin x?

Back

sin 30° = 0.5.

Front

If angle x is 60 degrees, what is cos x?

Back

cos 60° = 0.5.

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

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

Back

Opposite side = hypotenuse × sin(angle).

Front

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

Back

Adjacent side = hypotenuse × cos(angle).

Front

What is the relationship between sine and cosine?

Back

sin(θ) = cos(90° - θ).

Front

What is the value of sin 90°?

Back

sin 90° = 1.