# 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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