# SOLUTION: find all the angles between 0degree to 360degree which satisfy the equation: sin2x=-0.7880

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 Question 312022: find all the angles between 0degree to 360degree which satisfy the equation: sin2x=-0.7880Answer by nerdybill(6950)   (Show Source): You can put this solution on YOUR website!find all the angles between 0degree to 360degree which satisfy the equation: sin2x=-0.7880 . Let y = 2x then instead of sin2x=-0.7880 you would have sin y =-0.7880 . Take the inverse sin (arcsin) of both sides giving you y = -52 deg but y = 2x -52 = 2x -26 deg = x (quadrant four) or 360-26 = x 334 deg = x . since we are looking for all the angles between 0degree to 360degree: it also falls on the third quadrant: 180+52 = 2x 232 = 2x 116 deg = x . Answer: 116 and 334 degrees