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Mathematics 19 Online
OpenStudy (anonymous):

Rewrite as a positive acute angle. Tan (-100 degrees)

OpenStudy (anonymous):

\[\tan \left( -100 \right)=-\tan 100=-\tan \left( 180-80 \right)=-\left( -\tan 80 \right)\]=?

OpenStudy (anonymous):

thankyou! also can you like explain the steps? because i really don't understand when my teacher teaches it

OpenStudy (anonymous):

\[\tan \left( -\theta \right)=-\tan \theta \] |dw:1393174179525:dw| Theta in 4th quadrant,so tan theta is negative.

OpenStudy (anonymous):

what does theta mean

OpenStudy (anonymous):

100 in 2nd quadrant ,so tan theta is positive. \[Also~\tan \left( 180-\theta \right)=-\tan \theta .\]

OpenStudy (anonymous):

and also what does each quadrant represent

OpenStudy (anonymous):

as shown above there are four quadrants. |dw:1393174519727:dw|

OpenStudy (anonymous):

ANGLE 0 to 90 ,1st quadant. 90 to 180 ,2nd quadrant, 180 to 270 ,3rd quadrant. 270 to 360 ,4th quadrant.

OpenStudy (anonymous):

Yea but does each quadrant have a specific trig function

OpenStudy (anonymous):

|dw:1393188449679:dw|

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