Geometry Trigonometry Review

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 (o/h).

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 (a/h).

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 (o/a).

Front

How do you find the measure of an angle using sine?

Back

To find the angle, use the inverse sine function: angle = sin^(-1)(opposite/hypotenuse).

Front

How do you find the measure of an angle using cosine?

Back

To find the angle, use the inverse cosine function: angle = cos^(-1)(adjacent/hypotenuse).

Front

How do you find the measure of an angle using tangent?

Back

To find the angle, use the inverse tangent function: angle = tan^(-1)(opposite/adjacent).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

Front

If the opposite side is 3 and the hypotenuse is 5, what is sin(θ)?

Back

sin(θ) = 3/5.

Front

If the adjacent side is 4 and the hypotenuse is 5, what is cos(θ)?

Back

cos(θ) = 4/5.

Front

If the opposite side is 3 and the adjacent side is 4, what is tan(θ)?

Back

tan(θ) = 3/4.