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OpenStudy (anonymous):
***Help for a medal and fan!***
Write the following expression as a function of a positive acute angle.
cos 125°
a)cos55°
b)-cos55°
c)cos(-55)°
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OpenStudy (anonymous):
\[\cos(180-\theta)=-\cos(\theta)\]
OpenStudy (anonymous):
cos(180-125)=-cos(55)
OpenStudy (anonymous):
so in my calculator I just type in cos(180-125) then will that give me my answer? can you explain please? @nitz
OpenStudy (anonymous):
u dont need a calculator
OpenStudy (anonymous):
The acute angle is the small angle which is less than 90°.
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OpenStudy (anonymous):
ok... so i just subtract ? and how will i know if the cos is negative or not
OpenStudy (anonymous):
to convert the expression........
\[\cos(180-\theta)=-\cos(\theta)\]
OpenStudy (anonymous):
\[\cos(\theta) \] is negaTIVE IN SECOND QUADRANT....
OpenStudy (anonymous):
and \[(180-\theta)\] is the angle in second quadrant
OpenStudy (anonymous):
okay i get it.... thanks for your help!!!
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OpenStudy (anonymous):
<90 first quadrant
\[90<\theta<180\] 2nd quadrant
\[180<\theta<270\] third quadrant
\[270<\theta<360 \] fourth quadrant
OpenStudy (anonymous):
cos is negative in second and third quadrant....
OpenStudy (anonymous):
thanks! :)
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