document.write( "Question 1128160: tan (sin^-1(x)) \n" ); document.write( "
Algebra.Com's Answer #744644 by ikleyn(52782)\"\" \"About 
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document.write( "You are given that  \r\n" );
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document.write( "\"sin%28theta%29\" = x   and  \"theta\" is between \"-pi%2F2\"  and  \"pi%2F2\",      (1)\r\n" );
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document.write( "and they want you calculate  \"tan%28theta%29\".\r\n" );
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document.write( "From (1),  \"cos%28theta%29\" = \"sqrt%281-sin%5E2%28theta%29%29\" = \"sqrt%281-x%5E2%29\" and  \"cos%28theta%29\"  is positive in the given interval.\r\n" );
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document.write( "So,  \"tan%28theta%29\" = \"sin%28theta%29%2Fcos%28theta%29\" = \"x%2Fsqrt%281-x%5E2%29\".\r\n" );
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document.write( "Note that  \"tan%28theta%29\" might be positive or negative depending on the sign of \"x\".\r\n" );
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