document.write( "Question 1210628: Please help me to solve this equation. If sin p=3/5 and p is an acute angle, what is the value of tan p ? \n" ); document.write( "
Algebra.Com's Answer #854498 by Edwin McCravy(20086)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You must be beginning trig, so I'll go a little easier.\r\n" );
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document.write( "\"sin%28p%29\"\"%22%22=%22%22\"\"%22opposite%22%2F%22hypotenuse%22\"\"%22%22=%22%22\"\"a%2Fc\"\"%22%22=%22%22\"\"3%2F5\"\r\n" );
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document.write( "We can use the numerator 3 for \"a\", and the denominator 5 for \"c\".\r\n" );
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document.write( "Sketch a right triangle with angle \"p\", side opposite angle \"p\" as \"a\",\r\n" );
document.write( "hypotenuse as \"c\", and side adjacent to angle \"p\" as \"b\". \r\n" );
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document.write( "\"tan%28p%29\"\"%22%22=%22%22\"\"%22opposite%22%2F%22adjacent%22\"\"%22%22=%22%22\"\"a%2Fb\"\r\n" );
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document.write( "The only side that is unknown is the adjacent side to angle \"p\", which is \"b\".\r\n" );
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document.write( "So we use the Pythagorean theorem, which is\r\n" );
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document.write( "\"a%5E2%2Bb%5E2\"\"%22%22=%22%22\"\"c%5E2\" \r\n" );
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document.write( "and substitute a=3 and c=5\r\n" );
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document.write( "\"3%5E2%2Bb%5E2\"\"%22%22=%22%22\"\"5%5E2\"\r\n" );
document.write( "\"9%2Bb%5E2\"\"%22%22=%22%22\"\"25\"\r\n" );
document.write( "\"b%C2%B2\"\"%22%22=%22%22\"\"25-9\"\r\n" );
document.write( "\"b%C2%B2\"\"%22%22=%22%22\"\"16\"\r\n" );
document.write( "\"b\"\"%22%22=%22%22\"\"sqrt%2816%29\"\r\n" );
document.write( "\"b\"\"%22%22=%22%22\"\"4\"\r\n" );
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document.write( "Now we have side adjacent to angle \"p\", b=4\r\n" );
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document.write( "Now we can find tan(p):\r\n" );
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document.write( "\"tan%28p%29\"\"%22%22=%22%22\"\"%22opposite%22%2F%22adjacent%22\"\"%22%22=%22%22\"\"a%2Fb\"\"%22%22=%22%22\"\"3%2F4\"\r\n" );
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document.write( "\"tan%28p%29\"\"%22%22=%22%22\"\"3%2F4\"\r\n" );
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document.write( "Edwin
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