SOLUTION: Solve the equation on the interval 0 < theta

SOLUTION: Solve the equation on the interval 0 < theta < 2pi cot 2theta/3 = -sqrt3

Question 523104: Solve the equation on the interval 0 < theta < 2pi
cot 2theta/3 = -sqrt3
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the equation on the interval 0 < theta < 2pi
cot 2theta/3 = -sqrt3
**
using x in place of theta
cot(2x/3)=-√3
2x/3=5π/6 and 11π/6 (reference angles of π/6 in quadrants II and IV where cot<0)
2x/3=5π/6
2x=15π/6
x=15π/12=5π/4
and
2x/3=11π/6
2x=33π/6
x=33π/12=11π/4
RELATED QUESTIONS
Solve the equation on the interval 0< theta < 2pi sec^2theta+tan... (answered by lwsshak3)

solve the equation on the interval 0 < or equal to theta < 2 pi . cot 2theta/3 = -root... (answered by lwsshak3)

find all solutions of the equation tan^2theta=3/2sec theta in the interval [0,... (answered by lwsshak3)

Hi, I'm confused on how to approach this problem. It says to solve on the interval 0... (answered by josmiceli)

Find all solutions of the equation in the interval 0, 2pi 3 cot theta -5=0 (answered by stanbon)

Solve the equation on the interval 0 less than or equal to theta which is less than 2pi. (answered by solver91311)

Solve the equation on the interval of 0 < theta <2pi sqrt 3 sin theta+cos... (answered by solver91311)

solve the equation on the interval 0 < or equal to theta < 2pi. tan^2 theta = 3/2 sec... (answered by lwsshak3)

how would you solve this solve tan theta 2 csc 2 theta cot^2 on the interval (0,... (answered by Fombitz)