Posted by **patrick** on Saturday, September 15, 2012 at 4:40pm.

find the reference angle of -20000 and express the six trigonometric functions of -20000 in terms of the six trigonometric functions of its reference angle.

- trig -
**Reiny**, Saturday, September 15, 2012 at 7:43pm
-20000/360 = -55.555555..

= -55 - 200/360

so we have 55 clockwise rotations and then another clockwise rotation of 160°

OR

360-200 = 160° in the counterclockwise of positive rotation direction

160° is in the second quadrant, where the sine is positve and we are 20° from the x-axis

so the reference angle is 20°

sin(-20000) = sin20

cos(-20000) = -cos20

tan(-20000( = -tan(20)

I will let you do the cosecant, secant, and cotangents

test the above 3 with your calculator.

that is,

sin -20000 - sin 20 should be zero, it is on mine.

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