Question

Find the reference angle for -600 deg.
answer=30 deg.

Is this correct?

Answer 1

reference angle: smallest equivalent angle

x is a reference angle (or equivalent) of y if for:

(x + 360n) = y , n is an integer [ a whole number ]

30 + 360n = -600

360n = -630

n = -1.75

not a whole number (like 1.0000, 2.0000, 3, 4, -5..)

also true: x + 360n = -600

equivalent angle = x = -600 - 360n. so for any whole number you plug in n.

x = -600 - 360(0) = -600
x = -600 - 360(-1) = -240
x = -600 - 360(-2) = 120
x = -600 - 360(-3) = 480

for n = -2, you get the reference angle 120.

Answer 2

thanks

Answer 3

:)