document.write( "Question 1189410: If sin theta=5/12, determine sin2theta, where theta is in the first quadrant. \n" ); document.write( "

Algebra.Com's Answer #820772 by ikleyn(52839) $\"\"$ $\"About$

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\n" ); document.write( "If sin theta=5/12, determine sin2theta, where theta is in the first quadrant.
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document.write( "Use the basic formula of Trigonometry\r\n" );
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document.write( "     = .\r\n" );
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document.write( "From this formula, you see that you need to know .\r\n" );
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document.write( "It is easy to calculate    from  \r\n" );
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document.write( "     =  =  =  =  =  = .\r\n" );
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document.write( "In the first quadrant, cosine is positive; therefore, we keep the positive sign of the square root.\r\n" );
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document.write( "Now   =  =  =  = 0.757549...   ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "P.S. My inner voice tells me that should be $\"sin%28theta%29\"$ = $\"5%2F13\"$ in your post, instead of $\"5%2F12\"$ .\r
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\n" ); document.write( "\n" ); document.write( "If it is so, do everything the same. In this case the answer is $\"sin%282theta%29\"$ = $\"2%2A%285%2F13%29%2A%2812%2F13%29\"$ = $\"120%2F169\"$ .\r
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