Solving Trig equations #2

Front

What is the solution to the equation tan θ = 0?

Back

The solutions are θ = 0, θ = π, θ = 2π. The value θ = π/2 is NOT a solution.

Front

Where is the tangent function undefined?

Back

The tangent function is undefined at θ = π/2 and θ = 3π/2.

Front

Which of the following is NOT a solution to sin θ = √(3)/2? Options: π/3, 2π/3, 5π/3, 7π/3

Back

5π/3 is NOT a solution.

Front

Solve the equation cos²x + sinx + 1 = 0 on the domain [0, 2π).

Back

The solution is x = 3π/2.

Front

To solve the equation cos²x + sinx = 1, replace cos²x with: Options: 1/(sec²x), sin²x - 1, 1 - sin²x, 1 + tan²x

Back

Replace cos²x with 1 - sin²x.

Front

What is the period of the sine function?

Back

The period of the sine function is 2π.

Front

What is the range of the cosine function?

Back

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

Front

What is the Pythagorean identity involving sine and cosine?

Back

The Pythagorean identity is sin²x + cos²x = 1.

Front

What is the value of sin(π/2)?

Back

sin(π/2) = 1.

Front

What is the value of cos(0)?

Back

cos(0) = 1.