SOLUTION: Find all radian solutions to -2cos2(theta) -5sin(theta) +3=0 where 0<= theta <= 2pi

Question 721544: Find all radian solutions to -2cos2(theta) -5sin(theta) +3=0 where 0<= theta <= 2pi
Answer by nshah11(47) (Show Source): You can put this solution on YOUR website!
Let theta = t for simplicity.
-2cos(2t) - 5sin(t) + 3 = 0
-2(1 - 2sin^2(t)) - 5sin(t) + 3 = 0
4sin^2(t) - 5sin(t) + 1 = 0
4sin^2(t) - 4sin(t) - sin(t) + 1 = 0
(4sin(t) - 1)(sin(t) - 1) = 0
t = 0.253, 2.89, pi/2
RELATED QUESTIONS
Find all radian values of theta in the interval 0 (answered by Fombitz)
Find all solutions for theta on [0, 2pi] :... (answered by Alan3354)
consider the following equation 2cos(theta)cos(theta) + theta = 0 find all solutions in (answered by Fombitz)
Find all solutions in the interval [0,2pi)... (answered by MathLover1,Theo)
3sin^2 theta -5sin theta +2 =... (answered by Edwin McCravy,MathTherapy)
Find all solutions of the equation tan theta+cot theta+sec theta+csc... (answered by jsmallt9)
find all solutions to the equation in the interval [0, 2pi) (2 sin theta - sqrt 3)... (answered by lwsshak3)
Find all solutions of the equation in the interval 0, 2pi 3 cot theta -5=0 (answered by stanbon)
solve for theta where 0 (answered by jsmallt9)