Solve Trig Equations

Front

What is the general solution for the equation sin(x) = 0?

Back

x = nπ, where n is any integer.

Front

What are the solutions for cos(x) = 0 in the interval [0, 2π)?

Back

π/2, 3π/2.

Front

Define the term 'trigonometric equation'.

Back

An equation that involves trigonometric functions of a variable.

Front

What is the solution for tan(x) = 0 in the interval [0, 2π)?

Back

0, π.

Front

What is the range of the sine function?

Back

[-1, 1].

Front

What is the range of the cosine function?

Back

[-1, 1].

Front

What is the period of the sine function?

Back

2π.

Front

What is the period of the cosine function?

Back

2π.

Front

What is the general solution for the equation sin(x) = 1?

Back

x = π/2 + 2πn, where n is any integer.

Front

What is the general solution for the equation cos(x) = -1?

Back

x = π + 2πn, where n is any integer.