SOLUTION: Given the angle, find the reference angle: a. theta= 970 b. theta= -120 Calculate: a. sin(13pi/6) b. cos(-5pi/3) c. tan(970) d. csc(-120) e. cot(-5pi/3) Thank you!!

Algebra ->  Trigonometry-basics -> SOLUTION: Given the angle, find the reference angle: a. theta= 970 b. theta= -120 Calculate: a. sin(13pi/6) b. cos(-5pi/3) c. tan(970) d. csc(-120) e. cot(-5pi/3) Thank you!!      Log On


   

Question 833742: Given the angle, find the reference angle:
a. theta= 970
b. theta= -120
Calculate:
a. sin(13pi/6)
b. cos(-5pi/3)
c. tan(970)
d. csc(-120)
e. cot(-5pi/3)
Thank you!!
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Given the angle, find the reference angle:
a. theta= 970
=70˚(in quadrant III)
..
b. theta= -120
=60˚(in quadrant III)
..
Calculate:
a. sin(13pi/6)
=sin(π/6)=1/2(in quadrant I)
..
b. cos(-5pi/3)
=cos(2π/3)=1/2 (in quadrant I)
..
c. tan(970˚)
=tan(70˚)≈-2.7475 (in quadrant III)
..
d. csc(-120)
csc(60˚)=-2/√3=-2√3/2(in quadrant III)
..
e. cot(-5pi/3)
=cot(2π/3)=1/√3=√3/3(in quadrant I)