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Suppose q is an angle in the standard position whose terminal side is in Quadrant II and tan Ø= - square root of 3

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Suppose q is an angle in the standard position whose terminal side is in Quadrant II and tan Ø= - square root of 3

Guest May 5, 2017
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#1
+6683
+2

Suppose q is an angle in the standard position whose terminal side is in Quadrant II and tan Ø= - square root of 3

$$arctan( -\sqrt{3})=-60°$$

$$The \ free \ limb \ of \ the \ angle -60 ° \ forms \ the \ angle \ {\color{red}150 °} \ in \ the \ third \ quadrant.$$

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Thanks Alan!

$$The \ free \ limb \ of \ the \ angle -60 ° \ forms \ {\color{blue}the \ angle \ 180° -60° = \ 120 °} \ in \ the \ third \ quadrant.$$

asinus  May 5, 2017
edited by asinus  May 5, 2017
edited by asinus  May 5, 2017
edited by asinus  May 5, 2017
#2
+25979
+3

The angle is 120° to end up in quadrant II.  i.e. tan(120°) = -sqrt(3)

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Alan  May 5, 2017

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