document.write( "Question 891554: HELLO! I need help!
\n" ); document.write( "Match each trig function with its correct value if θ is an acute angle and cscθ = 2 1/2\r
\n" ); document.write( "\n" ); document.write( "1. sqroot 21/5
\n" ); document.write( "2. sqroot 21/2
\n" ); document.write( "3. 5sqroot21/21
\n" ); document.write( "4. 2/5
\n" ); document.write( "5. 2sqroot21/21\r
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\n" ); document.write( "\n" ); document.write( "a. sinx
\n" ); document.write( "b. cotx
\n" ); document.write( "c. cosx
\n" ); document.write( "d. tanx
\n" ); document.write( "3. secx
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Algebra.Com's Answer #539825 by Edwin McCravy(20081)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"csc%28theta%29\"\"%22%22=%22%22\"\"2%261%2F2\"\r\n" );
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document.write( "Change \"2%261%2F2\" to an improper fraction:\r\n" );
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document.write( "\"csc%28theta%29\"\"%22%22=%22%22\"\"5%2F2\"\r\n" );
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document.write( "Since \"cosecant=hypotenuse%2Fopposite\" we draw a right\r\n" );
document.write( "triangle with an angle \"theta\" with a hypotenuse of 5, which is \r\n" );
document.write( "the same as the numerator of the fraction \"5%2F2\", and with \r\n" );
document.write( "a side opposite angle \"theta\" of 2, which is the denominator\r\n" );
document.write( "of the fraction \"5%2F2\".\r\n" );
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document.write( "[You don't have to be accurate with your drawing, just any sketch of\r\n" );
document.write( "a right triangle will do.]\r\n" );
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document.write( "Next we use the Pythagorean theorem to calculate the adjacent side\r\n" );
document.write( "to angle \"theta\":\r\n" );
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document.write( "\"adjacent%5E2%2Bopposite%5E2=hypotenuse%5E2\"\r\n" );
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document.write( "\"adjacent%5E2%2B2%5E2=5%5E2\"\r\n" );
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document.write( "\"adjacent%5E2%2B4=25\"\r\n" );
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document.write( "\"adjacent%5E2=21\"\r\n" );
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document.write( "\"adjacent=sqrt%2821%29\"\r\n" );
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document.write( "So we label the adjacent side as \"sqrt%2821%29\"\r\n" );
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document.write( "\"sin%28theta%29=opposite%2Fhypotenuse=2%2F5\"\r\n" );
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document.write( "\"cos%28theta%29=adjacent%2Fhypotenuse=sqrt%2821%29%2F5\"\r\n" );
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document.write( "\"cot%28theta%29=adjacent%2Fopposite=sqrt%2821%29%2F2\"\r\n" );
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document.write( "Edwin
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