document.write( "Question 884604: I just need to know if the slope of a line can be found using m=sin(theta)/cos(theta), where m is the slope (of course I will substitute a value for theta). \n" ); document.write( "
Algebra.Com's Answer #534468 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the slope of a line is equal to the change in the value of y divided by the change in the value of x.\r
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\n" ); document.write( "\n" ); document.write( "let the change in the value of x be identified as dx.\r
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\n" ); document.write( "\n" ); document.write( "let the change in the value of y be identified as dy.\r
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\n" ); document.write( "\n" ); document.write( "slope is equal to dy/dx.\r
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\n" ); document.write( "\n" ); document.write( "if your angle is at the vertex of dy and dx, and you call that angle theta, then:\r
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\n" ); document.write( "\n" ); document.write( "sin(theta) = dy/h\r
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\n" ); document.write( "\n" ); document.write( "cos(theta) = dx/h\r
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\n" ); document.write( "\n" ); document.write( "h represents the hypotenuse.\r
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\n" ); document.write( "\n" ); document.write( "this means that dy = h * sin(theta) and dx = h * cos(theta)\r
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\n" ); document.write( "\n" ); document.write( "then dy/dx = h * sin(theta) / (h * cos(theta) which simplifies to:\r
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\n" ); document.write( "\n" ); document.write( "dy/dx = sin(theta) / cos(theta)\r
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\n" ); document.write( "\n" ); document.write( "this means that, yes you can.\r
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\n" ); document.write( "\n" ); document.write( "in fact, all you need to do is find tan(theta) since tan(theta) is equal to sin(theta) / cos(theta).\r
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\n" ); document.write( "\n" ); document.write( "the attached picture shows an example of what i mean.\r
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\n" ); document.write( "\n" ); document.write( "the angle is labeled A instead of theta.\r
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\n" ); document.write( "\n" ); document.write( "\"$$$\"
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