Trig and DE....

Calculus Level pending

\[\frac{dy}{dx} = \frac{\sqrt{2+2sinx -cos^2 x}}{cosxsiny} \] and the constant of integration is C = 0. If the point (x, 75 \(\ degrees\) ) lies on the curve in the range 180 < x < 270 what is the value of x to 3 significant figures?

Assumptions and details:

1) \[x \ne 90 + 180k \] For k is any integer

2) The square root is always positive

3) \[ y \ne 180k \] 4) I have finally edited the problem such that we are working in degrees

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