Trig Equations Practice

Front

Solve for the unknown variable on the interval 0≤x<2π: 2sin²x - sinx - 3 = 0

Back

3π/2

Front

Solve on the domain [0, 2π): 2sin x cos x = √2 cos x

Back

π/2, 3π/2, π/4, 3π/4

Front

Solve on the domain [0, 2π): cos²x + sin x + 1 = 0

Back

3π/2

Front

Solve for the unknown variable on the interval 0≤x<2π: csc²x - cscx - 2 = 0

Back

3π/2, π/6, 5π/6

Front

Solve on the Interval [0,2π): (2sin x - 1)(8 - 4cos x) = 0

Back

π/6, 5π/6

Front

Definition: Trigonometric Equation

Back

An equation that involves trigonometric functions of an unknown angle.

Front

Definition: Sine Function (sin)

Back

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

Front

Definition: Cosecant Function (csc)

Back

The reciprocal of the sine function: csc x = 1/sin x.

Front

Definition: Secant Function (sec)

Back

The reciprocal of the cosine function: sec x = 1/cos x.