SOLUTION: It a general solution: 3cos squard x-1=5sinx

Question 795495: It a general solution: 3cos squard x-1=5sinx
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
3cos^2x - 1 = 5sinx
Convert cos^2x = 1 - sin^2x
3(1 - sin^2x) - 1 = 5sinx
3 - 3sin^2x - 1 = 5cosx
2 - 5sinx - 3sin^2x = 0
(2 + sinx)(1 - 3sinx) = 0
2 + sinx = 0
sinx = -2 (no answer)
1 - 3sinx = 0
sinx = 1/3
x = 19.5 degrees,160.5 degrees
x = 0.34 radians, 2.8 radians.
Hope this helps.
:-)

RELATED QUESTIONS
Solve for the general solution with exact answers... (answered by ikleyn)

Find the general solution of 3cos(x) + sin(x) =... (answered by ikleyn)

solve 3cos�x + 4cosx - 4 = 0 and write the general solution. Use your graphing... (answered by lynnlo)

Heres 3 questions I was curious about Given sin A = 1/3 A in Quad II, CosB = -3/5 B in (answered by drk)

Determine the general solution of : 4sin^2x = -5sinx... (answered by ewatrrr)

What is the exact value of cos x = -1/3. Show work. This actually comes from a much... (answered by Fombitz)

What are all of the solution for 3cos^2(x) + 2cosx - 1 =... (answered by lwsshak3)

cos^2(x)+3cos(x)-1=0 (answered by MathLover1)

To the nearest degree, which is not a solution to the equation 4cos^2 theta - 3cos theta... (answered by Alan3354)