document.write( "Question 1031206: Determine cos2x if sin^(4)x = 25/36 when 0 < x < π/2 \n" ); document.write( "
Algebra.Com's Answer #645938 by ikleyn(52839)\"\" \"About 
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\n" ); document.write( "Determine cos2x if sin^(4)x = 25/36 when 0 < x < π/2
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document.write( "If  \"sin%5E4%28x%29\" = \"25%2F36\",  then  \"sin%5E2%28x%29\" = \"5%2F6\"  and \r\n" );
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document.write( "\"cos%282x%29\" = \"cos%5E2%28x%29+-+sin%5E2%28x%29\" = \"%281-sin%5E2%28x%29%29+-+sin%5E2%28x%29\" = \"1+-+2%2Asin%5E2%28x%29\" = \"1+-+2%2A%285%2F6%29\" = \"1+-+5%2F3\" = \"-2%2F3\".\r\n" );
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document.write( "The info 0 < x < \"pi%2F2\"  is irrelevant.\r\n" );
document.write( "It is not used in the solution, and the solution/the answer does not depend on this condition.\r\n" );
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