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document.write( "Given:
,
\r\n" );
document.write( "
,
\r\n" );
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document.write( "Find:
\r\n" );
document.write( "
\r\n" );
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document.write( "
,
. That's Q3 \r\n" );
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document.write( "Draw the picture of angle A in the third quadrant Q3. \r\n" );
document.write( "Since the cosine is adjacent/hypotenuse or x/r, and since we are given \r\n" );
document.write( "
, make x=-7 and r=
, and calculate y using the \r\n" );
document.write( "Pythagorean theorem:\r\n" );
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document.write( " x²+y² = r²\r\n" );
document.write( " (-7)²+y² = 25²\r\n" );
document.write( " 49+y² = 625\r\n" );
document.write( " y² = 576\r\n" );
document.write( " y = ±√576\r\n" );
document.write( " y = ±24, we take y = -24 \r\n" );
document.write( "\r\n" );
document.write( "We take y negative because it goes down from the x-axis, \r\n" );
document.write( "and we ALWAYS take r positive because it begins on the\r\n" );
document.write( "right side of the x-axis and doesn't change its sign when\r\n" );
document.write( "it swings around into the other quadrants. \r\n" );
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document.write( "
\r\n" );
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document.write( "
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document.write( "
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document.write( "
,
. That's Q4 \r\n" );
document.write( " \r\n" );
document.write( "\r\n" );
document.write( "Draw the picture of angle B in the fourth quadrant Q4. Since the sine is\r\n" );
document.write( "opposite/hypotenuse or y/r, and since we are given
,\r\n" );
document.write( "make y=-3 and r=5, and calculate x using the Pythagorean theorem:\r\n" );
document.write( "\r\n" );
document.write( " x²+y² = r²\r\n" );
document.write( " x²+(-3)² = 5²\r\n" );
document.write( " x²+9 = 25\r\n" );
document.write( " x² = 25\r\n" );
document.write( " y = ±√25\r\n" );
document.write( " y = ±5, we take y = -5 \r\n" );
document.write( "\r\n" );
document.write( "We take y negative because it goes down from the x-axis, \r\n" );
document.write( "and we ALWAYS take r positive because it begins on the\r\n" );
document.write( "right side of the x-axis and doesn't change its sign when\r\n" );
document.write( "it swings around into the other quadrants. \r\n" );
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document.write( "
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document.write( "
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document.write( "Edwin
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document.write( "