Solving Basic Trig Equations

Front

What is the general solution for the equation tan(x) + 1 = 2?

Back

x = π/4 + nπ, x = 5π/4 + nπ, where n is any integer.

Front

Solve sin(θ) = ½ on θ ∈ [0, 2π).

Back

θ = π/6, 5π/6.

Front

What is the solution for cos(x) + 1 = 0 on the interval [0, 2π)?

Back

x = π.

Front

What is the value of x when sin(x) = 1?

Back

x = 90° or π/2.

Front

Find the angle in degrees for sin(x) = 1/2.

Back

x = 30°.

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 relationship between sine and cosine for complementary angles?

Back

sin(θ) = cos(90° - θ).