trig inverses

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 arcsin, arccos, and arctan.

Front

What is the range of the arcsin function?

Back

The range of the arcsin function is from -90° to 90° (or -π/2 to π/2 radians).

Front

What is the range of the arccos function?

Back

The range of the arccos function is from 0° to 180° (or 0 to π radians).

Front

What is the range of the arctan function?

Back

The range of the arctan function is from -90° to 90° (or -π/2 to π/2 radians).

Front

How do you solve for an angle using the sine function?

Back

To solve for an angle using the sine function, use the formula: angle = arcsin(opposite/hypotenuse).

Front

How do you solve for an angle using the cosine function?

Back

To solve for an angle using the cosine function, use the formula: angle = arccos(adjacent/hypotenuse).

Front

How do you solve for an angle using the tangent function?

Back

To solve for an angle using the tangent function, use the formula: angle = arctan(opposite/adjacent).

Front

What is the relationship between sine and cosine for complementary angles?

Back

For complementary angles, sin(θ) = cos(90° - θ).

Front

What is the formula for finding the missing angle in a right triangle using the tangent function?

Back

The formula is: angle = arctan(opposite/adjacent).

Front

If sin(θ) = 0.5, what is θ?

Back

θ = arcsin(0.5) = 30°.