Solving Trig Equations Practice

Front

What is the equivalent form of the equation 2cos²x − 3cosx = 0?

Back

cosx(2cosx − 3) = 0

Front

How do you solve the equation cosx(2cosx − 3) = 0?

Back

Set each factor equal to 0 and solve.

Front

TRUE or FALSE: There is NO SOLUTION to sinθ = -1.

Back

FALSE

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

Front

What is the general solution for sinθ = 1/2?

Back

θ = π/6 + 2kπ or θ = 5π/6 + 2kπ, where k is any integer.

Front

What is the range of the cosine function?

Back

[-1, 1]

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²x + cos²x = 1

Front

How do you find the amplitude of a sine function?

Back

The amplitude is the absolute value of the coefficient in front of the sine function.

Front

What is the period of the function y = sin(kx)?

Back

The period is 2π/k.

Front

What is the value of cos(0)?

Back

1