document.write( "Question 1181869: if sinθ=0.6157 and 90⁰<θ<360⁰, then θ, to the nearest degree, is \n" ); document.write( "

Algebra.Com's Answer #811811 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "given:\r
\n" ); document.write( "\n" ); document.write( " $\"sin%28theta%29=0.6157\"$ and $\"90%3Ctheta%3C360\"$ ⁰\r
\n" ); document.write( "\n" ); document.write( " $\"theta=sin+%5E-1%280.6157%29\"$
\n" ); document.write( " $\"theta=0.663274\"$ ...(result in radians)
\n" ); document.write( " $\"theta=38\"$ °\r
\n" ); document.write( "\n" ); document.write( " $\"theta=0.663274%2B2pi%2An\"$ .... $\"n=1\"$
\n" ); document.write( " $\"theta=pi+-sin%5E-1%280.6157%29%2B2pi%2B2pi=6.946459307179587\"$
\n" ); document.write( " $\"theta=398\"$ ° (degrees)=> disregard, excedes given range\r
\n" ); document.write( "\n" ); document.write( "or
\n" ); document.write( " $\"theta=pi+-sin%5E-1%280.6157%29%2B2pi%2An\"$ ... $\"n=1\"$
\n" ); document.write( " $\"theta=pi+-0.663274%2B2pi\"$
\n" ); document.write( " $\"theta=+-0.663274%2Bpi\"$
\n" ); document.write( " $\"theta=502\"$ ° (degrees)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solutions for the range $\"90%3Ctheta%3C360\"$ ⁰:\r
\n" ); document.write( "\n" ); document.write( "=>no solution for $\"theta\"$ in $\"R\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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