Inverse Trig Ratios

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that determine the angle whose trigonometric ratio is a given number. They include sin^–1, cos^–1, and tan^–1.

Front

What is the relationship between sine and its inverse function?

Back

If y = sin(x), then x = sin^–1(y). The range of sin^–1(y) is [-90°, 90°].

Front

What is the relationship between cosine and its inverse function?

Back

If y = cos(x), then x = cos^–1(y). The range of cos^–1(y) is [0°, 180°].

Front

What is the relationship between tangent and its inverse function?

Back

If y = tan(x), then x = tan^–1(y). The range of tan^–1(y) is (-90°, 90°).

Front

How do you find the angle using the tangent ratio?

Back

To find the angle, use the formula x = tan^–1(opposite/adjacent).

Front

How do you find the angle using the sine ratio?

Back

To find the angle, use the formula x = sin^–1(opposite/hypotenuse).

Front

How do you find the angle using the cosine ratio?

Back

To find the angle, use the formula x = cos^–1(adjacent/hypotenuse).

Front

What is the value of tan^–1(1)?

Back

The value of tan^–1(1) is 45°.

Front

What is the value of sin^–1(0.5)?

Back

The value of sin^–1(0.5) is 30°.

Front

What is the value of cos^–1(0.5)?

Back

The value of cos^–1(0.5) is 60°.