SOLUTION: Find the reference angle t for the given angle t (a) . t = 7π/3 (b). t = 37π/4 (c). t = -23π/6 Please explain THANKS

Algebra ->  Trigonometry-basics -> SOLUTION: Find the reference angle t for the given angle t (a) . t = 7π/3 (b). t = 37π/4 (c). t = -23π/6 Please explain THANKS      Log On


   

Question 928536: Find the reference angle t for the given angle t
(a) . t = 7π/3
(b). t = 37π/4
(c). t = -23π/6
Please explain
THANKS
Found 2 solutions by rothauserc, Alan3354:
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
(a) t = 7π/3
t = (7*180) / 3 = 420 degrees
t= 420 - 360 = 60 degrees
reference angle for t is acute so = 60 degrees
(b) t = 37π/4
t = (37*180) / 4 = 1665 = 1665 - 1440 = 225
reference angle for t is acute so = 225 - 180 = 45 degrees
(c) t = -23π/6
t = (-23*180) / 6 = −690 = -690 +360 = -330
this time we rotate counter clockwise
reference angle for t is acute so = -330 +360 = 30 degrees

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the reference angle t for the given angle t
(a) . t = 7π/3
Subtract 2pi repeatedly until it's less than 2pi
(b). t = 37π/4
Same as (a)
(c). t = -23π/6
Add 2pi repeatedly until it's > 0.