5.3 Solving Trig Functions

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1].

Front

What is the range of the cosine function?

Back

The range of the cosine function is [-1, 1].

Front

What is the period of the sine function?

Back

The period of the sine function is 2π.

Front

What is the period of the cosine function?

Back

The period of the cosine function is 2π.

Front

What is the tangent function defined as?

Back

The tangent function is defined as tan(θ) = sin(θ)/cos(θ).

Front

What are the values of sin(0) and cos(0)?

Back

sin(0) = 0 and cos(0) = 1.

Front

What is an extraneous root?

Back

An extraneous root is a solution that emerges from the process of solving an equation but is not a valid solution to the original equation.

Front

How do you solve a trigonometric equation by squaring?

Back

To solve by squaring, isolate the trigonometric function, square both sides, and then solve the resulting equation.

Front

What is the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin of the coordinate plane, used to define trigonometric functions.

Front

What are the key angles in the unit circle?

Back

The key angles are 0°, 30°, 45°, 60°, 90°, 120°, 135°, 150°, 180°, 210°, 225°, 240°, 270°, 300°, 315°, 330°, and 360°.