Solve for x. Find all solutions from 0 to 2π. Show all work as you solve each problem - you may need more space to show your work for each. Remember there may be more than 1 solution for x

Question

a. sqrt 3 tanx + 1 =0

b. 4 sin^2 x - 1 =0

Answer 1

√3 tan x = -1

tan x = -1 / √3

tan x = -√3 / 3

Look on the unit circle (30-60-90 triangle)

4 sin² x = 1

sin² x = 1 / 4

sin x = ±1 / 2

Look on the unit circle (30-60-90 triangle)

Answer 2

b)

4sin^2(x) -1 = 0

sin^2(x) = 1/4

sin(x) = + or - 1/2

x = sin^-1(1/2) or sin^-1(-1/2)

x= pi/6 or 7pi/6

a)

(sqr3)tanx + 1= 0

tanx =-1/sqr3

x = 5pi/6 or 11pi/6