Trigonometric Ratios

Front

What is a Trigonometric Ratio?

Back

A trigonometric ratio is a ratio of the lengths of two sides of a right triangle. The primary trigonometric ratios are sine, cosine, and tangent.

Front

Define Sine (sin) in terms of 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

Define Cosine (cos) in terms of 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

Define Tangent (tan) in terms of 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

What is the Pythagorean Theorem?

Back

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides: a² + b² = c².

Front

How do you calculate the sine of a 30° angle?

Back

sin(30°) = 1/2.

Front

How do you calculate the cosine of a 60° angle?

Back

cos(60°) = 1/2.

Front

How do you calculate the tangent of a 45° angle?

Back

tan(45°) = 1.

Front

What is the relationship between sine and cosine?

Back

sin(θ) = cos(90° - θ). This means the sine of an angle is equal to the cosine of its complement.

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of a coordinate plane, used to define trigonometric functions.