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all right simon six two uh trigonometry inverse trigonometry when we inverse trigonometry weamp;#39;re finding the angle that goes with this so uh at what angle is the y coordinate root three over two so that answer is pi over three at what angle is tangent negative 1 we also be have to be aware of restrictions when things are negative if this value is positive itamp;#39;s always in quadrant 1. if itamp;#39;s negative it could be in quadrant 4 it could be in quadrant 2. tangent is in quadrant 4 is a negative angle so that angle is negative pi over 4 at 45 degrees tangents y over x that gives you that answer cosine is the x coordinate this is going to be in quadrant number two and you look what angle is that true for and that answer is 2 pi over 3. tangentamp;#39;s a little trickier always itamp;#39;s y over x so youamp;#39;re thinking of root 3 over 2 over one-half so where is that the case where itamp;#39;s positive and thatamp;#39;s pi over six oh the y thatamp;#39;s pi over