Solving Trig Equations

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1].

Front

What is the range of the cosine function?

Back

The range of the cosine function is [-1, 1].

Front

What is the general solution for sin θ = k?

Back

θ = arcsin(k) + 2nπ or θ = π - arcsin(k) + 2nπ, where n is any integer.

Front

What is the general solution for cos θ = k?

Back

θ = arccos(k) + 2nπ or θ = -arccos(k) + 2nπ, where n is any integer.

Front

What is the value of sin(π/2)?

Back

sin(π/2) = 1.

Front

What is the value of cos(π)?

Back

cos(π) = -1.

Front

What is the value of sin(3π/2)?

Back

sin(3π/2) = -1.

Front

What is the value of cos(0)?

Back

cos(0) = 1.

Front

What is the solution to sin θ = 0 on θ ∈ [0, 2π)?

Back

θ = 0, π.

Front

What is the solution to cos θ = 0 on θ ∈ [0, 2π)?

Back

θ = π/2, 3π/2.