5.3 - Solving Trig Equations

Front

Solve sinθ = ½ on the interval [0, 2π).

Back

θ = π/6, 5π/6

Front

Which of these is NOT a solution to tan θ = 0? Options: θ = 0, θ = π/2, θ = π, θ = 2π

Back

θ = π/2

Front

Find all solutions for the equation with no solutions.

Back

No solution

Front

Solve for all x in the equation: 5π/6 + 2πn, 7π/6 + 2πn, π/3 + 2πn, 2π/3 + 2πn, 5π/12 + πn, 7π/12 + πn, 2π/3 + πn, 4π/3 + πn

Back

5π/12 + πn, 7π/12 + πn

Front

Solve cos²θ = ½ on the interval [0, 2π).

Back

θ = π/4, 3π/4, 5π/4, 7π/4

Front

What is the general solution for sinθ = k?

Back

θ = arcsin(k) + 2πn or θ = π - arcsin(k) + 2πn

Front

Define the unit circle in relation to trigonometric functions.

Back

A circle with a radius of 1 centered at the origin, where the x-coordinate represents cos(θ) and the y-coordinate represents sin(θ).

Front

What is the period of the sine function?

Back

2π

Front

What is the period of the cosine function?

Back

2π

Front

What is the period of the tangent function?

Back

π