4.04 Quiz: Solve Trigonometric Equations

What are the solutions to the equation on [0,2π)[0,2π)? csc(3x)=−23√3csc(3x)=−233 Drag all solutions to the box to correctly complete the table.

4π/9 , 5π/9 , 10π/9 , 11π/9 , 16π/9 , 17π/9

Solve the equation on the interval [0,2π)[0,2π). −8cosx=3−8cosx=3 Select all correct solutions.

approximately 1.955 approximately 4.328

What is the general solution to the equation? 2cos2x+7cosx−4=02cos2x+7cosx−4=0 Drag solutions to the box to correctly complete the table.

θ=(π/3)+2πn , where n is an integer θ=(5π/3)+2πn , where n is an integer

What is the general solution to the equation? tanθ=2cosθtanθtanθ=2cosθtanθ Drag solutions to the box to correctly complete the table.

θ=πn , where n is an integer θ=(π/3)+2πn , where n is an integer θ=(5π/3)+2πn , where n is an integer

Solve the equation on the interval [0,2π). 8cos2x+4cosx=0 Select all correct solutions.

π/2 , 2π/3 , 4π/3 , 3π/2

Solve the equation on the interval [0,2π)[0,2π). 4cos2x−2cosx=04cos2x−2cosx=0 Select all correct solutions.

π/3, π/2, 5π/3, 3π/2