Trig Ratios

Front

What is the definition of sine in a right triangle?

Back

Sine 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 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 is the ratio of the length of the opposite side to the length of the adjacent side.

Front

If the hypotenuse is 10 and the adjacent side is 6, what is the cosine of the angle?

Back

Cosine = adjacent/hypotenuse = 6/10 = 0.6.

Front

If the opposite side is 8 and the hypotenuse is 10, what is the sine of the angle?

Back

Sine = opposite/hypotenuse = 8/10 = 0.8.

Front

If the opposite side is 3 and the adjacent side is 4, what is the tangent of the angle?

Back

Tangent = opposite/adjacent = 3/4 = 0.75.

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 missing side of a right triangle using trig ratios?

Back

Use the appropriate trig function (sine, cosine, or tangent) based on the known sides.

Front

What is the relationship between sine and cosine?

Back

Sine and cosine are co-functions: sin(θ) = cos(90° - θ).

Front

What is the value of sin(30°)?

Back

sin(30°) = 0.5.