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OpenStudy (anonymous):
how do i solve cos^2(theta)+sin(theta)=1?
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myininaya (myininaya):
\[1-\sin^2(\theta)+\sin(\theta)-1=0\]
\[-\sin^2(\theta)+\sin(\theta)=0\]
\[-\sin(\theta)(\sin(\theta)-1)=0\]
OpenStudy (anonymous):
did you mean the trig identity:
cos^2(theta)+sin^2(theta)=1
OpenStudy (anonymous):
probably not ...
OpenStudy (anonymous):
the theta isnt part of the exponent and its just sin(theta)
myininaya (myininaya):
\[-\sin(\theta)=0=> \sin(\theta)=0=> \theta= n \pi, n \in \mathbb{Z}\]
\[\sin(\theta)-1=0=> \sin(\theta)=1=> \theta=\frac{\pi}{2}+2n \pi, \theta=\frac{3\pi}{2}+2n \pi\]
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OpenStudy (anonymous):
not sin^2
myininaya (myininaya):
any questions?
OpenStudy (anonymous):
yes why did u use a negative identity ?
myininaya (myininaya):
negative?
myininaya (myininaya):
whats that mean?
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myininaya (myininaya):
i mean what do you mean by negative identity
OpenStudy (anonymous):
i thought you take sin(theta) and put it on the other side
myininaya (myininaya):
\[\cos^2(\theta)=1-\sin^2(\theta)\] <- this is the only identity i used
OpenStudy (anonymous):
oh so u substituted 1-sin^2 where cos^2 is
myininaya (myininaya):
yes
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OpenStudy (anonymous):
thanks can u show me the answers i would get?
myininaya (myininaya):
?
i already wrote answers
OpenStudy (anonymous):
ya thanks c them now
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