document.write( "Question 1099175: Given that θ is an acute​ angle, rewrite csc(θ-45°) an equivalent value using its cofunction. \n" ); document.write( "
Algebra.Com's Answer #713784 by Edwin McCravy(20064)\"\" \"About 
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Given that θ is an acute​ angle, rewrite csc(θ-45°) an equivalent value using its cofunction.
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document.write( "I don't think you meant \"cofunction\" since the cofunction of the \r\n" );
document.write( "cosecant is the secant.  There are no formulas directly connecting\r\n" );
document.write( "the secant to the cosecant, so I think you mean \"reciprocal\", which\r\n" );
document.write( "is the sine, not the \"cofunction\".  So I'll do it using the reciprocal, \r\n" );
document.write( "since I know of no way to simplify the expression using the secant.\r\n" );
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document.write( "\"csc%28theta-%2245%B0%22%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"1%5E%22%22%2Fsin%28theta-%2245%B0%22%29%5E%22%22\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"1%5E%22%22%2F%28sin%28theta%29cos%28%2245%B0%22%29-cos%28theta%29sin%28%2245%B0%22%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"%22%22=%22%22\"\r\n" );
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document.write( "Simplify by multiplying numerator and denominator through by 2\r\n" );
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document.write( "\"2%5E%22%22%2F%28sin%28theta%29%28sqrt%282%29%29%5E%22%22-cos%28theta%29%28sqrt%282%29%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "Factor out \"sqrt%282%29\" in the bottom:\r\n" );
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document.write( "\"2%5E%22%22%2F%28sqrt%282%29%28sin%28theta%29%5E%22%22-cos%28theta%29%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "Multiply numerator and denominator by \"sqrt%282%29\"\r\n" );
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document.write( "\"%22%22=%22%22\"\r\n" );
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document.write( "\"2%5E%22%22sqrt%282%29%2F%282%28sin%28theta%29%5E%22%22-cos%28theta%29%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "\"%22%22=%22%22\"\r\n" );
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document.write( "\"sqrt%282%29%5E%22%22%2F%28sin%28theta%29%5E%22%22-cos%28theta%29%29\"\r\n" );
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document.write( "Edwin
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