Trig Ratios: Missing Side Lengths

Front

What is the definition of sine (sin) 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 (cos) 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 (tan) 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

If sin(θ) = 0.5, what is the value of θ?

Back

θ = 30° or θ = 150° (in the range of 0° to 360°).

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(θ).

Front

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

Back

Adjacent side = Hypotenuse × cos(θ).

Front

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

Back

Opposite side = Adjacent side × tan(θ).

Front

What is the sine ratio for a 45° angle?

Back

sin(45°) = √2/2.

Front

What is the cosine ratio for a 45° angle?

Back

cos(45°) = √2/2.