document.write( "Question 1037215: A point​ P(x,y) is shown on the unit circle corresponding to a real number t. Find the values of the trigonometric functions at t. The point P is Upper P left parenthesis StartFraction 15 Over 17 EndFraction comma eight seventeenths right parenthesisP
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Algebra.Com's Answer #651921 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The length t is the length of the red arc.\r\n" );
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document.write( "Draw a perpendicular from the point \"P%28matrix%281%2C3%2C15%2F17%2C%22%2C%22%2C8%2F17%29%29\" to the\r\n" );
document.write( "x-axis. Label it Q, and label the origin O. Then draw the radius OP.\r\n" );
document.write( "The radius of the unit circle is 1. {In green below].\r\n" );
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document.write( "In geometry, you learned that a central angle is measured by the\r\n" );
document.write( "arc it subtends.  So the central angle is also measured t.\r\n" );
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document.write( "Triangle OPQ is a right triangle. \r\n" );
document.write( "The side opposite angle t is PQ.\r\n" );
document.write( "Also PQ is the y-coordinate of P, so PQ = 8/17.\r\n" );
document.write( "The side adjacent to angle t is OQ.\r\n" );
document.write( "Also OQ is the x-coordinate of P, so OQ = 15/17.\r\n" );
document.write( "The radius OP is the hypotenuse, so OP = 1.\r\n" );
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document.write( "\"sin%28t%29=OPPOSITE%2F%28HYPOTENUSE%29+=%288%2F17%29%2F1=8%2F17\" <-- the y-coordinate of P\r\n" );
document.write( "\"cos%28t%29=ADJACENT%2F%28HYPOTENUSE%29+=%2815%2F17%29%2F1=15%2F17\" <-- the x-coordinate of P\r\n" );
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document.write( "\"sec%28t%29=HYPOTENUSE%2FADJACENT+=1%2F%2815%2F17%29=1%2Aexpr%2817%2F15%29=17%2F15\"\r\n" );
document.write( "\"csc%28t%29=HYPOTENUSE%2FOPPOSITE+=1%2F%288%2F17%29=1%2Aexpr%2815%2F8%29=15%2F8\"\r\n" );
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document.write( "Edwin
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