Question

sqrt(3)tanx+1=0
find all solutions

Answer 1

sqrt(3)tanx+1=0
sqrt(3)tanx = -1
tanx = -1/sqrt(3) = -1/3 sqrt(3)
solve for x (remember these is the special angles)

Answer 2

thank you! I am just confused on how to solve for x on problems like these

Answer 3

tanx = -1/3 sqrt(3)
in the first quadran will satisfied for x = 150 degrees or 5pi/6
in the 4th quadrant will satisfied for x = 330 degrees or 11pi/6

Answer 4

btw, what's interval for x given there ?

Answer 5

i think its (0, 2pi)

Answer 6

kay, that's all solution have done above

Answer 7

thanks, so for the problem 2cos^2theta +cos theta=1 i factored it and got cos theta=1/2 and cos theata=-1. but from here how do u find the solutions for theta?

Answer 8

the key is "Memorize the trigono values for the special angles" :D

Answer 9

right. but when/how do i know when to subtract/add by either pi or 2 pi