Trig Ratios: Finding Missing Angles

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.

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.

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.

Front

What is the purpose of inverse trigonometric functions?

Back

Inverse trigonometric functions are used to find the angle when the value of a trigonometric ratio is known.

Front

How do you find the missing angle using sine?

Back

Use the formula: angle = sin^-1(opposite/hypotenuse).

Front

How do you find the missing angle using cosine?

Back

Use the formula: angle = cos^-1(adjacent/hypotenuse).

Front

How do you find the missing angle using tangent?

Back

Use the formula: angle = tan^-1(opposite/adjacent).

Front

What is the range of the sine function?

Back

The range of the sine function is from -1 to 1.

Front

What is the range of the cosine function?

Back

The range of the cosine function is from -1 to 1.

Front

What is the range of the tangent function?

Back

The range of the tangent function is all real numbers.