Solving Trig Equations 7.4A

Front

Solve on the Interval [0,2π): sinθ = -1

Back

θ = 3π/2

Front

Solve sinθ = ½ on θ∈[0, 2π)

Back

θ = π/6, 5π/6

Front

Solve sinx = 1/2

Back

x = 30°

Front

Solve on the Interval [0,2π): tan(x) + 1 = 2

Back

x = π/4, 5π/4

Front

Solve on the domain [0,2π): cos(x) + 1 = 0

Back

x = π

Front

Definition: Period of a Trigonometric Function

Back

The length of one complete cycle of the function.

Front

Definition: Amplitude of a Trigonometric Function

Back

The maximum distance from the midline to the peak (or trough) of the graph.

Front

Definition: Reference Angle

Back

The acute angle formed by the terminal side of an angle and the x-axis.

Front

Definition: Unit Circle

Back

A circle with a radius of 1 centered at the origin of the coordinate plane.

Front

Definition: Trigonometric Identities

Back

Equations that are true for all values of the variable where both sides are defined.