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anonymous
 one year ago
Solve the following equation for theta where
0 < or= theta < 2 pie
sin ^2 theta = sin theta
anonymous
 one year ago
Solve the following equation for theta where 0 < or= theta < 2 pie sin ^2 theta = sin theta

This Question is Closed

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\sin^2(\theta)\sin(\theta)=0\] factor left hand side

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that (sin theta) (sin theta)???

freckles
 one year ago
Best ResponseYou've already chosen the best response.1yes x^2 can be written as x*x

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[x^2x \\ x(x1)\] you try factoring \[\sin^2(\theta)\sin(\theta)\] it is the same way as I did the expression of x

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[x^2=x \\ x^2x=0 \\ x(x1)=0 \\ \text{ set both factors equal to zero } \\ x=0 \text{ or } x1=0 \\ x=0 \text{ or } x=1 \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you try solving for sin(theta) now it is the same way

freckles
 one year ago
Best ResponseYou've already chosen the best response.1once you have solved for sin(theta) then you will easily be able to find theta

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0hold on, don't leave yet

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sin =0 sin theta = 0

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I have no idea what to do next

freckles
 one year ago
Best ResponseYou've already chosen the best response.1well you have one equation correct but you are missing an equation

freckles
 one year ago
Best ResponseYou've already chosen the best response.1have you not factored \[\sin^2(\theta)\sin(\theta)\] yet?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1do you see both sin^2(theta) and sin(theta) have a common factor?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1as you said sin^2(theta) can be written as sin(theta)*sin(theta) therefore sin(theta) and sin^2(theta) both have the common factor sin(theta)

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so you can factor that out of the expression

freckles
 one year ago
Best ResponseYou've already chosen the best response.1\[\sin^2(\theta)\sin(\theta)=0 \\ \sin(\theta)(\sin(\theta)1)=0\] that is what you should get for the left hand side after factoring now set both factors equal to 0

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you can use the unit circle to solve both equations

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0where did you get these 2 equations?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok but how do you use the unit circle for this? i'm lost

freckles
 one year ago
Best ResponseYou've already chosen the best response.1do you know which equations you are solving?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sin^2 theta  sin theta = 0

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you need to factor the left hand side

freckles
 one year ago
Best ResponseYou've already chosen the best response.1I have actually done this for you

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know x factor, but don't know how

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1433565703539:dw

freckles
 one year ago
Best ResponseYou've already chosen the best response.1now set both factors equal to 0

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you have sin(theta)=0 or sin(theta)1=0

freckles
 one year ago
Best ResponseYou've already chosen the best response.1find when sin(theta) is 0 on the unit circle find when sin(theta) is 1 on the unit circle

freckles
 one year ago
Best ResponseYou've already chosen the best response.1in other words you are looking for where the ycoordinate is 0 on the unit circle and also looking for when the y coordinate is 1 on the unit circle

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the answer is pie/2 and pie

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0but how is it pie though???

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so you don't get that sin(pi)=0? also sin(0)=0 so I think you mean you have 0,pi/2,pi
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