Find all solutions of the equation in the interval [0, 2pi). 4cos²x = 5-4 sinx
Write your answer in radians in terms of .
If there is more than one solution, separate them with commas.(PLEASE HURRY)

Step-by-step explanation:

First, use the Pythagorean identity that says

and solve it for cos-squared x:

so make that replacement into the original equation:

and then distribute to get

then get everything on one side so you can factor:

For the sake of ease, let

so sinx = u. Now we are factoring

which factors very nicely to

Now replace the u with sin(x) and solve for where, on the unit circle, the sin of the angle is equal to 1/2:

when

109 is the nearest whole number/final answer! : )

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step-by-step explanation: