document.write( "Question 937801: If tan theata =1 then find sin theata ×cos theata \n" ); document.write( "

Algebra.Com's Answer #571259 by KMST(5328) $\"\"$ $\"About$

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For any angle $\"theta\"$ ,
\n" ); document.write( " $\"%28sin%28theta%29%29%5E2%2B%28cos%28theta%29%29%5E2=1\"$ .
\n" ); document.write( "Also, for any angle $\"theta\"$ with $\"cos%28theta%29%3C%3E0\"$ ,
\n" ); document.write( " $\"tan%28theta%29\"$ exists, and
\n" ); document.write( " $\"tan%28theta%29=sin%28theta%29%2Fcos%28theta%29\"$
\n" ); document.write( "
\n" ); document.write( "In this case,
\n" ); document.write( " $\"tan%28theta%29=sin%28theta%29%2Fcos%28theta%29=1\"$ ---> $\"sin%28theta%29=cos%28theta%29\"$ .
\n" ); document.write( "Then,
\n" ); document.write( "

---> $\"2%28sin%28theta%29%29%5E2=2%28cos%28theta%29%29%5E2=1\"$ ---> $\"%28sin%28theta%29%29%5E2=%28cos%28theta%29%29%5E2=1%2F2\"$ ---> $\"sin%28theta%29=cos%28theta%29=sqrt%281%2F2%29=sqrt%282%29%2F2\"$ .
\n" ); document.write( "So,
\n" ); document.write( " $\"sin%28theta%29%2Acos%28theta%29=sqrt%281%2F2%29%2Asqrt%281%2F2%29=highlight%281%2F2%29\"$ \n" ); document.write( "

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