document.write( "Question 142454: Use the given information to find $\"sin+2%28phi%29\"$ , $\"cos+2%28phi%29\"$ , $\"tan+2%28phi%29\"$ .\r
\n" ); document.write( "\n" ); document.write( "1. $\"tan%28phi%29=1%2F2\"$ , $\"pi+%3C+phi+%3C=+%283pi%2F2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "2. $\"sec%28phi%29=-5%2F2\"$ , $\"pi%2F2+%3C+phi+%3C+pi\"$ \r
\n" ); document.write( "\n" ); document.write( "3. $\"sin%28theta%29=3%2F5\"$ , $\"0+%3C+phi+%3C+pi%2F2\"$ \r
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\n" ); document.write( "Justin \n" ); document.write( "

Algebra.Com's Answer #103697 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use the given information to find $\"sin%282phi%29\"$ , $\"cos%282phi%29\"$ , $\"tan%282phi%29\"$ .
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document.write( "Formulas needed are\r\n" );
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document.write( "1. ,  \r\n" );
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document.write( "That's the THIRD quadrant.\r\n" );
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document.write( "Draw a picture of angle theta in the third quadrant\r\n" );
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document.write( "Since  \r\n" );
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document.write( "If theta were in the first quadrant, we'd let the \r\n" );
document.write( "numerator of  be y and the denominator of \r\n" );
document.write( " be x.  But since theta is in the third \r\n" );
document.write( "quadrant, we have to make x and y both negative.  \r\n" );
document.write( "So take y, the opposite, as the negative of the \r\n" );
document.write( "numerator, -1, and take x to be the negative of \r\n" );
document.write( "the denominator, -2. \r\n" );
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document.write( "So plot the point (-2,-1) in the third quadrant and \r\n" );
document.write( "draw a radius to it and draw a perpendicular up to \r\n" );
document.write( "the x-axis, forming a right triangle:\r\n" );
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document.write( "Next we need to find r, the hypotenuse. We use the\r\n" );
document.write( "Pythagorean theorem:\r\n" );
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document.write( "So we label that:\r\n" );
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document.write( "Now we have ,,\r\n" );
document.write( "And so \r\n" );
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document.write( "Substituting in\r\n" );
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document.write( "Substituting in\r\n" );
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document.write( "Substituting those values in:\r\n" );
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document.write( "If I have time I'll come back and do the others.\r\n" );
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document.write( "Edwin

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