document.write( "Question 17687: for what value of theta the expression is real and imaginary.
\n" ); document.write( "3+2*sin(theta)/1-2*sin(theta)
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Algebra.Com's Answer #8552 by xcentaur(357) $\"\"$ $\"About$

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$\"+%283%2B2%2Asin%28theta%29%29%2F%281-2%2Asin%28theta%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "Now sin(theta) is 1 for 90 degrees
\n" ); document.write( "So if theta is 90 we get\r
\n" ); document.write( "\n" ); document.write( " $\"+%283%2B2%2Asin%2890%29%29%2F%281-2%2Asin%2890%29%29+\"$
\n" ); document.write( " $\"+%283%2B2%29%2F%281-2%29+\"$
\n" ); document.write( " $\"+5%2F-1+\"$
\n" ); document.write( " $\"+-5+\"$ \r
\n" ); document.write( "\n" ); document.write( "Hence it is an imaginary (non-real) value.\r
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\n" ); document.write( "Again,for theta=0,sin becomes 0\r
\n" ); document.write( "\n" ); document.write( " $\"+%283%2B2%2Asin%280%29%29%2F%281-2%2Asin%280%29%29+\"$
\n" ); document.write( " $\"+%283%2B0%29%2F%281-0%29+\"$
\n" ); document.write( " $\"+3%2F1+\"$
\n" ); document.write( " $\"+3+\"$
\n" ); document.write( "Which is real.
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\n" ); document.write( "Hence for given expression we get,
\n" ); document.write( "Real values,theta=0 degreees
\n" ); document.write( "Imaginary values,theta=90 degrees
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\n" ); document.write( "Hope this helps,
\n" ); document.write( "Prabhat \n" ); document.write( "

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