Solving Trig Equations

Front

What is the general solution for the equation 4sin²x = 3?

Back

x = π/3, 2π/3, 4π/3, 5π/3

Front

Which angles correspond to sin θ = √(3)/2?

Back

θ = π/3, 2π/3

Front

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

Back

x = π

Front

What angles satisfy cos θ = -√(3)/2 on θ∈[0, 2π)?

Back

θ = 5π/6, 7π/6

Front

Which angle is NOT a solution to tan θ = 0?

Back

θ = π/2

Front

Define the sine function in terms of a right triangle.

Back

Sine of an angle = Opposite side / Hypotenuse.

Front

What is the range of the sine function?

Back

[-1, 1]

Front

What is the cosine of 0 radians?

Back

cos(0) = 1

Front

What is the period of the sine function?

Back

2π

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(θ) = cos(90° - θ) or sin(θ) = cos(π/2 - θ) in radians.