Solve the equation sin q = 0.6428, for 0 < q < 360° Note that the signs of the sines (/cosines/tangents) are found using the "cast" rule. These angles are "related angles" and their cosines and tangents will be related in a similar way. In the following diagrams, the sines, cosines and tangents of each of the shaded angles have the same magnitude (the same angle in each diagram): The sines, cosines and tangents of some angles are equal to the sines, cosines and tangents of other angles. This is easy to remember, since it spells "cast". In the fourth quadrant, Cos is positive, in the first, All are positive, in the second, Sin is positive and in the third quadrant, Tan is positive. In the fourth quadrant, the values for cos are positive only. In the third quadrant, the values for tan are positive only. In the second quadrant, the values for sin are positive only. In the first quadrant, the values for sin, cos and tan are positive. The angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant and angles between 270° and 360° are in the fourth quadrant: The angles which lie between 0° and 90° are said to lie in the first quadrant. On a set of axes, angles are measured anti-clockwise from the positive x-axis.
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