Trig ratios

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

How do you identify the opposite side in a right triangle?

Back

The opposite side is the side that is opposite to the angle of interest (Theta).

Front

How do you identify the adjacent side in a right triangle?

Back

The adjacent side is the side that is next to the angle of interest (Theta) and is not the hypotenuse.

Front

What is the Pythagorean theorem?

Back

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

What is the sine ratio for a 30° angle?

Back

sin(30°) = 1/2.

Front

What is the cosine ratio for a 60° angle?

Back

cos(60°) = 1/2.

Front

What is the tangent ratio for a 45° angle?

Back

tan(45°) = 1.

Front

If sin(θ) = 0.5, what is θ?

Back

θ = 30° or θ = 150°.