In Class Solving Trig Equations

Front

What is the range of the function sin^-1(x)?

Back

The range of sin^-1(x) is [-π/2, π/2].

Front

What is the range of the function cos^-1(x)?

Back

The range of cos^-1(x) is [0, π].

Front

What is the range of the function tan^-1(x)?

Back

The range of tan^-1(x) is (-π/2, π/2).

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Front

What is the value of sin^-1(0)?

Back

sin^-1(0) = 0.

Front

What is the value of cos^-1(1)?

Back

cos^-1(1) = 0.

Front

What is the value of tan^-1(1)?

Back

tan^-1(1) = π/4.

Front

What is the value of sec^-1(1)?

Back

sec^-1(1) = 0.

Front

Solve for θ: cos²θ = ½ on θ∈[0, 2π).

Back

θ = π/4, 3π/4, 5π/4, 7π/4.

Front

Solve for x: cos²x + sin x + 1 = 0 on [0, 2π).

Back

x = 3π/2.