Find the four smallest positive numbers theta such that tan(theta)=-1
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OpenStudy (asnaseer):
in degrees these would be: 135, 315, 495, 675
OpenStudy (anonymous):
what about radians?
myininaya (myininaya):
multiply each of them by pi/(180 degrees)
OpenStudy (anonymous):
i dont understand
myininaya (myininaya):
\[135^o \cdot \frac{\pi}{180^o}\]
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OpenStudy (asnaseer):
180 degrees = pi radians
1 degree = pi / 180 radians
myininaya (myininaya):
\[\frac{3 \pi}{4}\]
myininaya (myininaya):
for the first one
myininaya (myininaya):
all i did was multiply it by pi/(180 degrees)
OpenStudy (anonymous):
ok thanks
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OpenStudy (anonymous):
\[\frac{3\pi}{4}\] and since tangent is periodic with period
\[\pi\] you get the others by adding
\[\pi\] repeatedly to
\[\frac{3\pi}{4}\] and to hell with degrees.
myininaya (myininaya):
and i know you know what multiply means lol
i just couldn't figure out what you couldn't understand about what i said
OpenStudy (anonymous):
couldn't figure out what degrees had to do with this problem
OpenStudy (anonymous):
thanks
OpenStudy (anonymous):
spend more time converting back and forth for no reason. the other day i saw someone write
\[\sin(\frac{\pi}{4}+180)\]for petes sake!
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