SOLUTION: Please help me out with this problem! Solve for all solutions of t on the interval [0,2pi) 2-2sin(t)=2sqrt( 3 )cos(t)

Question 993622: Please help me out with this problem! Solve for all solutions of t on the interval [0,2pi)
2-2sin(t)=2sqrt( 3 )cos(t)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Please help me out with this problem! Solve for all solutions of t on the interval [0,2pi)
2-2sin(t)=2sqrt(3)cos(t)

Square both sides.

Sub 1 - sin^2 for cos^2
---

(2sin + 1)*(sin - 1) = 0
----
sin(t) = 1
t = pi/2
--------------
sin(t) = -1/2
t = 7pi/6, 11pi/6

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