document.write( "Question 1087518: if sin + cosec =2 find sin^-7 + cos ^7 \n" ); document.write( "

Algebra.Com's Answer #701830 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "You are given that  +  = 2.    (1)\r\n" );
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document.write( "Obviously, (1) implies that sin(x) is positive. \r\n" );
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document.write( "Let y = .   Then (1) becomes\r\n" );
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document.write( " +  = 2,\r\n" );
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document.write( "which implies  - 2 +  = 0 =  = 0.\r\n" );
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document.write( "Hence,  =  and then y = 1.\r\n" );
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document.write( "Thus sin(x) = 1 and cos(x) = 0.\r\n" );
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document.write( "Now  +  = 1.\r\n" );
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