Question

whats the reference angle for 11π/6? explain why

Answer 1

The reference angle of something is its angle measure in the first quadrant. First you determine which quadrant the angle you have is in, in this case I believe it is the fourth quadrant. From there you subtract the correct angle measure to get back to the first quadrant, in this case 3pi/2 radians and that is your reference angle.

Answer 2

well this angle is in the 4th quadrant...

its between \[\frac{3\pi}{2} ... and... 2\pi\]

so its the same as

\[2\pi - \frac{\pi}{6}\]

Answer 3

thanks :) i'm not really sure what the question is asking though, is the reference angle a point or an equation?

Answer 4

@azolator is it just asking the quadrant?

Answer 5

well it hase something to do with the sign of trig ratios... I'd expect.

Answer 6

the reference angle is just what that angle would be if it were in the first quadrant.

Answer 7

thanks :) so 3pi/2 radians is the answer? or is it more complex than that

Answer 8

a little more complex than that. You need to subtract 3pi/2 from your angle so 11pi/6 - 3pi/2

Answer 9

i got 1.05

Answer 10

for 11pi/6 - 3pi/2
is that correct?

Answer 11

@azolotor

Answer 12

yeah just simplify from there

Answer 13

so would that be the final answer?

Answer 14

pi/3

Answer 15

okay thanks :) i got 1.05 again so i guess that'd be the answer

Answer 16

here is an excellent site that explains reference angles..

http://www.mathopenref.com/reference-angle.html

Answer 17

thanks :) i'll check that out. i dont really understand them too well at the moment