document.write( "Question 1029365: How can i transform \"+3cis%28-5pi%2F6%29+\" in to Cartesian form? (or known as rectangular form)\r
\n" ); document.write( "\n" ); document.write( "The problem I'm having is, How can i find the Radian Value of \"+cos%28-5pi%2F6%29\" and \"+sin%28-5pi%2F6%29\". Which is used to turn this polar form in to Cartesian form?\r
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Algebra.Com's Answer #644415 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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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 \"-5pi%2F6\" to degrees:\r\n" );
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document.write( "\"expr%28-5pi%2F6%29%2Aexpr%28%22180%B0%22%2Fpi%29\"\"%22%22=%22%22\"\"%22%22=%22%22\"\"-%22150%B0%22\"\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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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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document.write( "  \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( "\"cos%28-5pi%2F6%29\"\"%22%22=%22%22\"\"cos%28%22-150%B0%22%29\"\"%22%22=%22%22\"\"cos%28%22210%B0%22%29\"\"%22%22=%22%22\"\"-cos%28%2230%B0%22%29\"\"%22%22=%22%22\"\"-sqrt%283%29%2F2\"\r\n" );
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document.write( "and\r\n" );
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document.write( "\"sin%28-5pi%2F6%29\"\"%22%22=%22%22\"\"sin%28%22-150%B0%22%29\"\"%22%22=%22%22\"\"sin%28%22210%B0%22%29\"\"%22%22=%22%22\"\"-sin%28%2230%B0%22%29\"\"%22%22=%22%22\"\"-sqrt%281%29%2F2\"\"%22%22=%22%22\"\"-1%2F2\"\r\n" );
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document.write( "Edwin
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