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document.write( "The other tutor just blurted out the answers.\r\n" );
document.write( "Here is how we learn to come up with them:\r\n" );
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document.write( "Change
to degrees:\r\n" );
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document.write( "



\r\n" );
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document.write( "Add 360°: -150°+360° = 210°\r\n" );
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document.write( "That's in QIII, so we draw the angle:\r\n" );
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\r\n" );
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document.write( "The reference angle is the acute angle between the \r\n" );
document.write( "radius vector and the x-axis. So for 210°, the\r\n" );
document.write( "reference angle is gotten by subtracting 180°\r\n" );
document.write( "from it, getting 210°-180° = 30°\r\n" );
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document.write( "Then we learn the 5 special angles, by memorizing this chart:\r\n" );
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\r\n" );
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document.write( "If we want sine we read from the left across with the angles\r\n" );
document.write( "at the top, and if we want cosine we read from the right across\r\n" );
document.write( "using the angles at the bottom:\r\n" );
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document.write( "Then we memorize:\r\n" );
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document.write( "\"All Students Take Calculus\", which is a mnemonic device \r\n" );
document.write( "that is used to help students memorize the sign values \r\n" );
document.write( "of all the trigonometric functions in the 2-dimensional \r\n" );
document.write( "Cartesian coordinate system. The letters ASTC signify \r\n" );
document.write( "which of the trigonometric functions are positive, \r\n" );
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document.write( "in the order of the quadrants - starting in the top \r\n" );
document.write( "right quadrant, and moving counterclockwise.\r\n" );
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document.write( "In Quadrant I: A for All - all trigonometric functions \r\n" );
document.write( "are positive in this quadrant.\r\n" );
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document.write( "In Quadrant II: S for Sine - sine and cosecant functions \r\n" );
document.write( "are positive in this quadrant.\r\n" );
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document.write( "In Quadrant III: T for Tangent - tangent and cotangent \r\n" );
document.write( "functions are positive in this quadrant.\r\n" );
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document.write( "In Quadrant IV: C for Cosine - cosine and secant functions \r\n" );
document.write( "are positive in this quadrant. \r\n" );
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document.write( "So therefore both the cosine and sine are negative in \r\n" );
document.write( "quadrant QIII.\r\n" );
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document.write( "







\r\n" );
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document.write( "and\r\n" );
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document.write( "









\r\n" );
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document.write( "Edwin
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document.write( "