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anonymous
 5 years ago
if trying to find all solutions on the interval 0,2pi
sin2x=sinx
so x=1/2? or how do i solve?
anonymous
 5 years ago
if trying to find all solutions on the interval 0,2pi sin2x=sinx so x=1/2? or how do i solve?

This Question is Closed

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0sin2x=2sinxcosx so 2sinxcosx=sinx 2sinxcosxsinx=0 sinx(2cosx1)=0 sinx=0 and 2cosx1=0

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0lets solve sinx=0 first

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0what x makes sinx zero

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0think about your unit circle

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0sin(0)=0 sin(2pi)=0 so x=0 and 2pi now we have the other equation 2cosx1=0 => cosx=1/2

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0what can plug in where the x is that give you 1/2 (we are looking at the equation cosx=1/2)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the other btw was 0 degrees or 180 degrees for sin

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0oh yes and pi very good for the first

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so answeres are 0,1/2,pi?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so 60 degrees and what else for this equation equation

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.060 degrees or pi/3 there is also another one for the second equation

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.00,pi/3,pi that seems like all we can get i think cause thats both sin and hte one cos

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0@myininaya: Congrats for the new title. I was you 100th fan by the way :D

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0so anyways what is cos(300 degrees)

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0no maybe it will help if i wrote it in radians what is cos(5pi/3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0isnt that the same just reduced?

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0ok 10pi/6=5pi/3 but what is cos(5pi/3)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0isnt it  cause bottom right quadrent?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0nvm cos is x so positive if on right side

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0k :) so the solutions to sinx=0 in the interval [0,2pi] are 0,pi,2pi and the solutions to cosx=1/2 in the interval [0,2pi] are pi/3, 5pi/3

myininaya
 5 years ago
Best ResponseYou've already chosen the best response.0you have 5 solutions in all
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