SOLUTION: Express cos 236° in terms of its reference angle. Show work.

Algebra ->  Trigonometry-basics -> SOLUTION: Express cos 236° in terms of its reference angle. Show work.      Log On


   



Question 1138393: Express cos 236° in terms of its reference angle. Show work.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

A reference angle is an angle whose measure is between 0° and+90° (not including 0° or 90°)
If theta is your angle, here’s how to find its reference angle.
Quadrant |Reference Angle
II............ |< 180° - theta
III ...........|< theta - 180°
IV............| < 360° - theta

=> sin+%28236+%29 °
= > +236+ ° is in Q II where sin is negative, so reference angle is: 236-180=56+
=>sin+%28236+%29+=+-sin+%2856%29