Solving Trigonometric Equations final day

Front

Solve for [0, 2π): 4sinx + sin2x = 0

Back

0, π

Front

Solve for [0, 2π): tan3x = 1

Back

π/12, 5π/12, 9π/12, 13π/12, 17π/12, 21π/12

Front

Solve for [0, 2π): 2sin²x - 5sinx + 2 = 0

Back

π/6, 5π/6

Front

Solve [0,2π) Choose all answers: 4cos²x - 7cosx - 2 = 0

Back

1.82, 4.46

Front

Definition: Trigonometric Equation

Back

An equation that involves trigonometric functions of a variable.

Front

Definition: Period of a Trigonometric Function

Back

The length of one complete cycle of the function.

Front

Definition: Sine Function (sin)

Back

A function that relates the angle of a right triangle to the ratio of the opposite side to the hypotenuse.

Front

Definition: Cosine Function (cos)

Back

A function that relates the angle of a right triangle to the ratio of the adjacent side to the hypotenuse.

Front

Definition: Tangent Function (tan)

Back

A function that relates the angle of a right triangle to the ratio of the opposite side to the adjacent side.

Front

Key Principle: Solving Trigonometric Equations

Back

Use algebraic techniques and trigonometric identities to isolate the variable.