SOLUTION: find all solutions for the equation in the interval {0,2pi) {{{cos(theta/2)}} = 0

Algebra ->  Trigonometry-basics -> SOLUTION: find all solutions for the equation in the interval {0,2pi) {{{cos(theta/2)}} = 0      Log On


   



Question 886384: find all solutions for the equation in the interval {0,2pi)
+find+all+solutions+for+the+equation+in+the+interval+%7B0%2C2pi%29%0D%0A+cos(theta/2)}} = 0

Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find all solutions for the equation in the interval {0,2pi)
cos theta/2 = 0
----
cosine is zero when the angle is pi/2 or (3/2)pi
---
Solve:
t/2 = pi/2 when t = pi
---
t/2 = (3/2)pi when t = 3pi (This answer is not in the interval (0,2pi).
=================================
Cheers,
Stan H.
-----------------------------

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
cos%28theta%2F2%29%7D%7D+=+0
theta%2F2%22%22=%22%22pi%2F2 or 3pi%2F2
theta%22%22=%22%222pi%2F2 or 6pi%2F2}
theta%22%22=%22%22pi or cross%283pi%29
We can't use 3pi because it's not in the interval %28matrix%281%2C3%2C0%2C%22%2C%22%2C2pi%29%29
The only solution id pi
Edwin