Solving Trig Equations

Solve the equation for   $0\le x<2\pi$ . Select all possible answers.

2sin(x) - 1 = 0

• π/4

• 2π/3

• π/6

• π/3

• 5π/6

Find all solutions for x in radians. Select all possible answers.

sin(x) - √2 = - sin(x)

• π/4 + 2πn

• 2π/3 + 2πn

• 3π/4 + 2πn

• π/3 + 2πn

• 5π/6 + 2πn

Solve the equation for  $0\le x<2\pi$   Select all possible answers.

 $-\frac{9}{2}=-5+\cos x$  

• π/2

• π/3

• π/6

• 5π/3

• 0

Solve the equation for  $0\le x<2\pi$   Select all possible answers.

 $-4\ +\tan x=\frac{-12-\sqrt{3}}{3}$  

• 3π/2

• π/3

• 5π/6

• 11π/6

• 7π/6

Solve the equation for  $0\le x<360$   Select all possible answers.

 $8\cos x=-4\sqrt{3}$  

• 30º

• 45º

• 90º

• 300º

• 315º

Find all solutions for the x.

 $-\frac{1}{3}\ +\cos x=\frac{-\sqrt{2}}{3}$  

• 0

• No solution

• Undefined

• 2πn

• 45º

Find all solutions for the x.

 $2\ =\ 2\sec x$  

• 0

• No solution

• Undefined

• 2πn

• 45º

Find all solutions for the x.

 $3\ +\ \sin x\ =\ \frac{7}{2}$  

• 2πn

• 5π/6 + 2πn

• π/6 + 2πn

• π/3 + 2πn

• π/2 + πn