document.write( "Question 872997: find exact value of tan 2 theta when given sin theta=3/5 and pi/2 < theta < pi \n" ); document.write( "
Algebra.Com's Answer #526621 by jim_thompson5910(35256)\"\" \"About 
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\"sin%28theta%29+=+3%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin%5E2%28theta%29+=+%283%2F5%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"sin%5E2%28theta%29+=+9%2F25\"\r
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\n" ); document.write( "\n" ); document.write( "\"1-sin%5E2%28theta%29+=+1-9%2F25\"\r
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\n" ); document.write( "\n" ); document.write( "\"1-sin%5E2%28theta%29+=+25%2F25-9%2F25\"\r
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\n" ); document.write( "\n" ); document.write( "\"1-sin%5E2%28theta%29+=+16%2F25\"\r
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\n" ); document.write( "\n" ); document.write( "\"cos%5E2%28theta%29+=+16%2F25\"\r
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\n" ); document.write( "\n" ); document.write( "\"cos%28theta%29+=+-sqrt%2816%2F25%29\" Note: because \"pi%2F2+%3C+theta+%3C+pi\", this means \"theta\" is in quadrant II (where cosine is negative)\r
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\n" ); document.write( "\n" ); document.write( "\"cos%28theta%29+=+-4%2F5\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29+=+%28sin%28theta%29%29%2F%28cos%28theta%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29+=+%28%283%2F5%29%29%2F%28%28-4%2F5%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29+=+%28%283%2F5%29%29%2A%28%28-5%2F4%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29+=+%283%2A%28-5%29%29%2F%285%2A4%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29+=+-15%2F20\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%28theta%29+=+-3%2F4\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%282%2Atan%28theta%29%29%2F%281+-+tan%5E2%28theta%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%282%2A%28-3%2F4%29%29%2F%281+-+%28-3%2F4%29%5E2%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%282%2A%28-3%2F4%29%29%2F%281+-+9%2F16%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%282%2A%28-3%2F4%29%29%2F%2816%2F16+-+9%2F16%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%282%2A%28-3%2F4%29%29%2F%287%2F16%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%28-6%2F4%29%2F%287%2F16%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%28-3%2F2%29%2F%287%2F16%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%28-3%2F2%29%2A%2816%2F7%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%28-3%2A16%29%2F%282%2A7%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+%28-48%29%2F%2814%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"tan%282theta%29+=+-24%2F7\"
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