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Mathematics 7 Online
OpenStudy (darkbluechocobo):

Help with reference angles

OpenStudy (darkbluechocobo):

OpenStudy (darkbluechocobo):

so i know \[\tan \theta=-\sqrt3\]

OpenStudy (darkbluechocobo):

and to find \[\theta'\]

OpenStudy (darkbluechocobo):

\[\frac{ -10\pi }{ 3 }+4\pi\]

OpenStudy (rational):

\(-\sqrt{3}\) is the final answer, you're done!

OpenStudy (darkbluechocobo):

But I have to find \[\theta'\]

OpenStudy (rational):

question doesn't ask you to find the reference angle

OpenStudy (rational):

it only says to use the reference angle to evaluate tan(-10pi/3)

OpenStudy (darkbluechocobo):

Im confused about this part cause you would get \[\frac{ 2\pi }{ 3 }\]

OpenStudy (darkbluechocobo):

welp I have than that to select from though

OpenStudy (rational):

yes subtract that from \(\pi \)

OpenStudy (rational):

reference angle = \(\large \pi - \frac{2\pi}{3} = ?\)

OpenStudy (darkbluechocobo):

so positive pi/3

OpenStudy (rational):

Yep!

OpenStudy (darkbluechocobo):

Could you assist me with one more

OpenStudy (darkbluechocobo):

This one is just a true or false one, but

OpenStudy (rational):

ok

OpenStudy (darkbluechocobo):

A reference angle exists for the following angle: θ = -810°.-810+3(360)=270

OpenStudy (darkbluechocobo):

But im confused would you subtract this by 180 because reference angles need to be between 0 and 90

OpenStudy (rational):

yes i think 90 degrees is the reference angle for 270

OpenStudy (darkbluechocobo):

so this would be true then

OpenStudy (rational):

im not sure, some google results say 90 is reference angle and some say 90 cannot be a reference angle

OpenStudy (rational):

@freckles

OpenStudy (mathmath333):

it is \(90\)

OpenStudy (darkbluechocobo):

Yes but I believe we are unsure if 90 is a reference angle

OpenStudy (darkbluechocobo):

Ahh Isee

OpenStudy (rational):

looks neat

OpenStudy (mathmath333):

if angle is on axis then the previous quadrant is considered i think

OpenStudy (mathmath333):

in this case the \(3rd\) quadrant

OpenStudy (freckles):

if you do either 360-270 or 270-180 you should get 90 deg for either one

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