SOLUTION: Use the reference angle to find the exact value for each of the following: a. tan(-675degree) b. cos 7pi/2

Algebra ->  Trigonometry-basics -> SOLUTION: Use the reference angle to find the exact value for each of the following: a. tan(-675degree) b. cos 7pi/2      Log On


   



Question 716680: Use the reference angle to find the exact value for each of the following:
a. tan(-675degree)
b. cos 7pi/2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use the reference angle to find the exact value for each of the following:
a. tan(-675degree)
-675º is like rotating one revolution (360º) clockwise plus another 315º terminating in quadrant I at 45º where tan>0
tan(-675degree)=tan(45º)=1
..
b. cos 7pi/2
7π/2 is like rotating 3 revolutions counter-clockwise plus π terminating at π.
cos 7π/2=cos π=-1