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hannahg
 2 years ago
Find all solutions in the interval [0, 2π).
sin2x + sin x = 0
hannahg
 2 years ago
Find all solutions in the interval [0, 2π). sin2x + sin x = 0

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.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2Do you know what's the identity for sin2x?

hannahg
 2 years ago
Best ResponseYou've already chosen the best response.02sinx+cosx+sinx=0 right? what do i do next?

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2no, it should be from sin2x + sin x = 0 to 2sinxcosx + sin x =0 right?

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2you should try factoring now

hannahg
 2 years ago
Best ResponseYou've already chosen the best response.0sinx(2cosx+1)=0 is this right? what do i do next? o.O

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2yes, now you can let sinx=0 and 2cosx+1=0 then find the x values

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1equate that to 0 and find x values

hannahg
 2 years ago
Best ResponseYou've already chosen the best response.0so i got cosx=1/2 how do i find the value of x?

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2well you can do this cosx=1/2 x=cos^{1} (1/2)

hannahg
 2 years ago
Best ResponseYou've already chosen the best response.0so what are all possible values of x? 0 and......what else O.o

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1@hannahg :) instead of o.O

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2you calculate cos^(1) 1/2 first without minus on half you'll get 60 degrees

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2then use this chart for cosine dw:1358873950517:dw we are looking at the minus side since we got minus half. then 18060=120 degrees 180+60=240 degrees

AravindG
 2 years ago
Best ResponseYou've already chosen the best response.1@hannahg thats better :)

hannahg
 2 years ago
Best ResponseYou've already chosen the best response.0yes. so all the possible solutions will be pi, pi/3, 2pi/3?

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2you still have sinx=0 to do

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2yes but dont forget about 180

.Sam.
 2 years ago
Best ResponseYou've already chosen the best response.2since theta is 0, then you get 180

hannahg
 2 years ago
Best ResponseYou've already chosen the best response.0@.Sam. so what are all solutions in the interval??
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