SOLUTION: 8 sin^2 x + 3 sin 2x = 4 Solve for all angles btw 0 and 360 which satisfy the equation.

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Question 1039138: 8 sin^2 x + 3 sin 2x = 4
Solve for all angles btw 0 and 360 which satisfy the equation.

Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
8 sin^2 x + 3 sin 2x = 4
Solve for all angles btw 0 and 360 which satisfy the equation.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

 = ,  --->

 = ,  --->

 = ,  --->    (replace 1 by )

 = ,  --->

 = ,  --->  (replace   by  -cos(2x)) 

-4cos(2x) + 3sin(2x) = 0  --->  4cos(2x) = 3sin(2x)  --->  tan(2x) =   --->  
2x =   and/or  2x =   --->  

x =   and/or  x = .

Now use your calculator to convert arctan into degrees.

Solved.


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