Question

sinx = √3cosx solve

Answer 1

start with looking at a unit circle for sin and cos

Answer 2

how do u know if there is more tan one answer

Answer 3

*than

Answer 4

looking at the unit circle, you can tell when a value will be negative or positive

Answer 5

sinx/cosx=\[\sqrt{3}\]
tanx=\[\sqrt{3}\]
x=\[\pi\]/3 or 60 degrees

Answer 6

i understand that part...the answer i got is tanx = pi/3
but its also 5pi/3

Answer 7

tan(pi/3) and tan(5pi/3) are the same

Answer 8

yes there'll be many pi/3 s you gotta tell the domain of x

Answer 9

do u have to list all of them?

Answer 10

there would be an infinite amount

Answer 11

o alright...in the lectue notes that i was reading for my class it says to subtract the answer from 2pi to get the other values

Answer 12

it works sometimes but not all the time

Answer 13

\[\sin x=\sqrt{3}\cos x\]
\[\frac{ \sin x }{ \cos x }=\sqrt{3}\]
\[\tan x=\sqrt{3}=\tan 60,\tan \left( 180+60 \right)\]
\[x=60,240\]

Answer 14

in these kind of problems the domain of x is provided check the ques once again

Answer 15

ok thank u for the help

Answer 16

ooo ok now i see what your explaining the range they give is from o to 2pi

Answer 17

thanks again

Answer 18

in 0 to2 pi only two solutions 60,240 i.e pi/3, pi+pi/3

Answer 19

yes