SOLUTION: I'm so lost and this is due tomorrow, if anyone can help that would be great! Find all solutions of the equation? 3 cos(theta) + 3 = 2 sin^2(theta) Thanks again!

Question 871007: I'm so lost and this is due tomorrow, if anyone can help that would be great!
Find all solutions of the equation?
3 cos(theta) + 3 = 2 sin^2(theta)
Thanks again!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!

3 cos(t) + 3 = 2 sin^2(t)
3 cos(t) + 3 = 2*(1 - cos^2(t))
2cos^2(t) + 3cos(t) + 1 = 0
(2cos + 1)*(cos + 1) = 0
cos = -1 --> theta = pi + 2n*pi, n = 0,1,2,3...
---------
cos = -1/2 --> theta = 2pi/3, 4pi/3 + 2n*pi, n = 0,1,2,3...

RELATED QUESTIONS
Find all solutions of the equation sin(2theta)sin(theta) = cos(theta) This is due... (answered by mananth)

please help! I am so lost and my algebra final is due in 9 hours!!! x^4+2x^3-4x-4=0 (answered by venugopalramana)

Find the solutions in the interval [0, 2pi) 2 cos 3x = 1 This is due tomorrow and I (answered by KMST)

My problem is regarding "demand equation" or demand curve. Here is the word problem:... (answered by MRperkins,solver91311)

I really really need help on this problem because it is on a homework that is due... (answered by josgarithmetic,ankor@dixie-net.com)

So my teacher has asked us to create an equation for a "roller coaster" that has the... (answered by KMST)

If cot(x)=-2 and cos(x)>0 find the exact value of cos(x/2) I tried working it out... (answered by josgarithmetic)

I need to find the coordinates of A,B,C,D,and E. I cannot copy the problem on to here... (answered by jim_thompson5910)

I really need some help - my assignment is due tomorrow night and I have about 6 more... (answered by scott8148)