Math
posted by Nicole .
solve the following for x, where 0<x<2pi.... 2tanx+ sq rt 12=0
 write the general solution aswell

2 tanx = √12
tanx = √12/2
x = 60° or 240°
since the period of tanx is 180°
the general solution would be 60° + 180k
now I will switch to radians
x = π/3 or 4π/3
general solution : x = π/3 + kπ , where k is an integer
(I used my calculator to find the first angle, even though I should have recognized √12/2 as √3
I usually set my calculator to degrees, that way I recognize the standard angles if there are any.
Unless you recognize the decimal versions of radian angles, this works best for me)
Respond to this Question
Similar Questions

MATH
Please help me with these problems. Work and answer is appreciated! :) thanks. 1. Find on the interval theta is greater than or equal to 0 and less than 2pi; then find the general solution: 5tantheta+1=2.89 16cos^2theta6=3 6sin^2theta+sintheta=2 … 
math
Solve each equation , then write the general solution cos(pi/2(x+1))=cospi/2 x x=1.5, 3.5 general solution: 1/2+4n but the back of the book says that the general solution is 1/2+2n isn't the period 4? 
trig 30
Please help I need to solve the following question for x, where 0<x<2pi. and then write a general solution for the equation. The question is 2cos^2 x + cos x =1. I need to solve this using radian measurement. I solved it using … 
mathPLEASE CHECK
Find the surface area and volume of each of the following figures: d.Right circular cylinder v=pir^2h pi(3)(3)(6) pi(54) v=169.6 cubic cm sa=2pi r^2 + 2pi rh 2pi(3)(3)+2pi(3)(6) 2pi(9)+2pi(18) 56+113=169 Sa=169 square cm is this right? 
math c30
Solve cosxtanx + root3cosx  root3/2tanx  3/2 = 0 exact answers and formula for general solution 
math c30
solve cosxtanx + root3cosx  root3/2tanx  3/2 = 0 exact value answers and formula for the general solution and specific solutions. 
MATH C30
Solve cosxtanx + sqroot3cosx  sqroot3/2tanx  3/2 = 0 interval 0 to 2 pi exact answers and formula for the general solution as well as the specific solutions. Sorry Steve, missed it last night. 
Math C30 ( trig )
Solve : cosxtanx + root3cosx  root3/2tanx  3/2 = 0 Give exact answers and formula for the general solution as well as the specific solutions.. Help 
Pre Calculus
I keep trying to solve this by factring but I can't seem to get! It's so frustrating! The problem is 1+tan2x=0 This is how I worked the problem before: 1+((2tanx)/(1tan^2x))=0 ((2tanx)/(1tan^2x))= 1 Then I cross multiplied to get: … 
math
find all solution to the equation 3 cos(x+4)=1. in the interval of 0<x<2pi This is what I got: arccos (1/3)+4 but I cant figure the rest out Solve the following equation in the interval [0, 2pi]. (sin(t))^2=1/2. Give the answer …