Trigonometric Functions and Ratios

Front

What is the tangent of an angle in a right triangle?

Back

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

Front

What is the cosine of an angle in a right triangle?

Back

The cosine of an angle is the ratio of the length of the adjacent side to the length of the hypotenuse.

Front

What is the sine of an angle in a right triangle?

Back

The sine of an angle is the ratio of the length of the opposite side to the length of the hypotenuse.

Front

What is the longest side of a right triangle called?

Back

The longest side of a right triangle is called the hypotenuse.

Front

Fill in the blank: In a right triangle, the sine of an angle is the ratio of the _______ side to the hypotenuse.

Back

Opposite

Front

Fill in the blank: In a right triangle, the cosine of an angle is the ratio of the _______ side to the hypotenuse.

Back

Adjacent

Front

What does the mnemonic SOH-CAH-TOA stand for?

Back

SOH: Sine = Opposite/Hypotenuse, CAH: Cosine = Adjacent/Hypotenuse, TOA: Tangent = Opposite/Adjacent.

Front

What is the relationship between the sides of a right triangle according to the Pythagorean theorem?

Back

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

Front

How do you find the tangent of an angle if you know the lengths of the opposite and adjacent sides?

Back

Tangent = Opposite side length / Adjacent side length.

Front

What is the value of tangent for a 45-degree angle?

Back

The value of tangent for a 45-degree angle is 1.