document.write( "Question 1004716: Find the values of the six trig functions for each angle θ in standard position if a point with the given coordinates lies on its terminal side.\r
\n" ); document.write( "\n" ); document.write( "I do not know how to do problems like these. My teacher assigned the worksheet without explanation. I don't expect you to solve all of the problems, but here they are. Please explain how to do problems like these! Thanks!\r
\n" ); document.write( "\n" ); document.write( "1. (3, 3)
\n" ); document.write( "2. (8, -2)
\n" ); document.write( "3. (4, 5)
\n" ); document.write( "4. (-4, 4)
\n" ); document.write( "5. (-5, 12)
\n" ); document.write( "6. (-2, 0)
\n" ); document.write( "7. (-5, -9)
\n" ); document.write( "8. (5, 0)
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Algebra.Com's Answer #621135 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Let \"theta\" be an angle in standard position and suppose that ( \"x\" , \"y+\") is any point other than ( \"0\" , \"0\" ) on the terminal side of \"theta\".\r
\n" ); document.write( "\n" ); document.write( " If \"r=+sqrt%28x%5E2%2By%5E2%29\" is the \"distance\" between ( \"x\" , \"y+\") and ( \"0\" , \"0\" ), then the six trigonometric functions of \"theta\" are defined by:
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\n" ); document.write( "\"sin%28theta%29=y%2Fr\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28theta%29=x%2Fr\"\r
\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29=y%2Fx\"\r
\n" ); document.write( "\n" ); document.write( "\"csc%28theta%29=r%2Fy\"\r
\n" ); document.write( "\n" ); document.write( "\"sec%28theta%29=r%2Fx\"\r
\n" ); document.write( "\n" ); document.write( "\"cot%28theta%29=x%2Fy\"\r
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\n" ); document.write( "\n" ); document.write( "if \"theta\" contains the point \r
\n" ); document.write( "\n" ); document.write( "1. (\"3\", \"3\")\r
\n" ); document.write( "\n" ); document.write( "=>\"x=+3\" and \"y=+3\", then\r
\n" ); document.write( "\n" ); document.write( "\"r=+sqrt%28x%5E2%2By%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r=+sqrt%283%5E2%2B3%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r=+sqrt%282%2A3%5E2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"r=+3sqrt%282%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin%28theta%29=y%2Fr=3%2F3sqrt%282%29=1%2Fsqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cos%28theta%29=x%2Fr=3%2F3sqrt%282%29=1%2Fsqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29=y%2Fx=3%2F3=1\"\r
\n" ); document.write( "\n" ); document.write( "\"csc%28theta%29=r%2Fy=3sqrt%282%29%2F3=sqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"sec%28theta%29=r%2Fx=3sqrt%282%29%2F3=sqrt%282%29\"\r
\n" ); document.write( "\n" ); document.write( "\"cot%28theta%29=x%2Fy=3%2F3=1\"\r
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\n" ); document.write( "\n" ); document.write( "I hope this will be enough to see how to do it. I am pretty sure you would be able to do the rest by your self.\r
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