Trigonometry
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OpenStudy (anonymous):
Help me solve: sin^2x-sinx=0
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OpenStudy (dan815):
0 and 1
sin x=0 and 1
OpenStudy (dan815):
npi, pi/2+n2pi
OpenStudy (swissgirl):
\[\sin^2x-\sin x=0\]
\[\sin x( \sin x-1)=0\]
\[\frac{\sin x( \sin x-1)}{\sin x}=\frac{0}{\sin x}\]
\[ \sin x-1=0\]
\[ \sin x=1\]
\[\sin^{-1} (1)=x\]
This occurs at x=90
OpenStudy (swissgirl):
\[\sin x=0\]
\[\sin ^{-1}(0)=x\]
This occurs at x=0 and x=360
OpenStudy (swissgirl):
dang it ill give ya a medal anyways
ARGHHHHHH I HATE YOUUUUUUUUUUUUUUU
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OpenStudy (dan815):
sin^2x-sinx=0
let y= sin x
y^2-y=0
y(y-1)=0, y=0 or 1
y=sinx
0=sinx, x=n*pi
1=sinx, x=pi/2+2pi*n
OpenStudy (dan815):
dont forget osscilations
OpenStudy (dan815):
90+n*360. nEall integers
OpenStudy (swissgirl):
dan what does n stand for?
OpenStudy (swissgirl):
ohhh for alll cycles
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OpenStudy (swissgirl):
gotcha gotcha
OpenStudy (dan815):
and for every 180 degree angle so
180 + n 180
OpenStudy (dan815):
or npi
OpenStudy (dan815):
lose the habit of using degrees
OpenStudy (swissgirl):
hahaha ok
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OpenStudy (swissgirl):
fuk u
OpenStudy (dan815):
please dont swear on OS
OpenStudy (dan815):
It is a user friendly site for all ages
OpenStudy (swissgirl):
hahahahaha
OpenStudy (dan815):
welcome to OS sloan
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OpenStudy (swissgirl):
Im gonna beat u up soon
OpenStudy (swissgirl):
@sloan16 fell asleep -.-
OpenStudy (anonymous):
thank you guys so much
OpenStudy (dan815):
You are welcome sloan
OpenStudy (dan815):
give a medal to swissgirl
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OpenStudy (swissgirl):
dan shut up -.-