theta = 16 pi / 5
How to find the reference angle in radians? Do i have to use degree to pi conversion?
16pi/5 = 16*180/5 = 576o = 1.6 Rev.
A = 0.6Rev * 360o/Rev = 216o, Q3.
In Q3, A - Ar = 180o
216 - Ar = 180
Ar = 36o = Reference angle.
Ar = (36o/360o) * 2pi = 2pi/10 Radians.
Notes:
In Q2, A + Ar = 180o
In Q4, A + Ar = 360o
To find the reference angle in radians, you can use the formula `reference angle = theta - (2 * pi * floor(theta / (2 * pi)))`, where `theta` is the given angle.
In this case, theta = 16pi/5. To find the reference angle, follow these steps:
Step 1: Calculate the floor value of theta / (2 * pi).
floor(x) represents the largest integer that is less than or equal to x.
In this case, floor(16pi/5 / (2 * pi)) = floor(16/10) = 1.
Step 2: Multiply the floor value by (2 * pi).
1 * (2 * pi) = 2pi.
Step 3: Subtract the result of step 2 from theta.
16pi/5 - 2pi = 16pi/5 - 10pi/5 = 6pi/5.
Therefore, the reference angle in radians for theta = 16pi/5 is 6pi/5.
You do not need to convert degrees to radians in this case since the given angle, theta, is already in radians.