SOLUTION: what is the refernece angle and the exact function value of cot 855 degrees

Algebra ->  Trigonometry-basics -> SOLUTION: what is the refernece angle and the exact function value of cot 855 degrees      Log On


   

Question 1135389: what is the refernece angle and the exact function value of cot 855 degrees
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
855 degrees is two full rotations and a fraction , that fraction being 135 degrees; which is 45 multiplied by 3...

cosine is -sqrt%282%29%2F2 and sine is sqrt%282%29%2F2.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

855=2%2A360%2B135=>cot+%28855%29=cot+%28135%29
the exact function value:
cot+%28135%29=-1
=>cot+%28855%29=-1
Reference angle is the smallest angle that the terminal side of a given angle makes with the x-axis.
will be in II quadrant, so 180-135=45°