document.write( "Question 1086583: Find the exact value of tan [arcsin (2/5)]. For full credit, explain your reasoning.\r
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Algebra.Com's Answer #700814 by ikleyn(52800)\"\" \"About 
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document.write( "You have an angle \"alpha\" such that \"sin%28alpha%29\" = \"2%2F5\".\r\n" );
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document.write( "In addition, you know that \"alpha\" is in QI.\r\n" );
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document.write( "Hence, cos\"alpha%29\" = \"sqrt%281-sin%5E2%28alpha%29%29\" = \"sqrt%281-%282%2F5%29%5E2%29\" = \"sqrt%28%2825-4%29%2F25%29\" = \"sqrt%2821%29%2F5\".\r\n" );
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document.write( "Then \"tan%28alpha%29\" = \"sin%28alpha%29%2Fcos%28alpha%29\" = \"%28%282%2F5%29%29%2F%28%28sqrt%2821%29%2F5%29%29\" = \"2%2Fsqrt%2821%29\" = \"%282%2Asqrt%2821%29%29%2F21\".\r\n" );
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