document.write( "Question 1099998: Find the exact value of the expression or state that it does not exist.
\n" ); document.write( "cos(sin^-1 ( sqrt(3)/ 5))\r
\n" ); document.write( "\n" ); document.write( "a. In the function y=sin^-1 x, the expression sin^-1 x is defined as an angle in what interval? \r
\n" ); document.write( "\n" ); document.write( "b. Where does the terminal side of sin^-1 (sqrt(3)/5) lie? \r
\n" ); document.write( "\n" ); document.write( "c. Determine the value of cos(sin^-1 ( sqrt(3)/ 5)). \n" ); document.write( "
Algebra.Com's Answer #714518 by ikleyn(52830)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Find the exact value of the expression or state that it does not exist.\r\n" );
document.write( "cos(sin^-1 ( sqrt(3)/ 5))\r\n" );
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document.write( "a.  In the function y=sin^-1(x), the expression sin^-1 x is defined as an angle in what interval? \r\n" );
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document.write( "        [\"-pi%2F2\", \"pi%2F2\"], by the definition of the function arcsin(x)  (which is exactly the same as  sin^(-1) (x) )\r\n" );
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document.write( "b.  Where does the terminal side of sin^-1 (sqrt(3)/5) lie? \r\n" );
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document.write( "        In the first quadrant.\r\n" );
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document.write( "c.  Determine the value of cos(sin^-1 ( sqrt(3)/ 5)). \r\n" );
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document.write( "        You are given that  \"sin%28alpha%29\" = \"sqrt%283%29%2F5\".\r\n" );
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document.write( "        Then \"cos%28alpha%29\" = \"sqrt%281-sin%5E2%28alpha%29%29\" = \"sqrt%281+-+%28sqrt%283%29%2F5%29%5E2%29\" = \"sqrt%281+-+3%2F25%29\" = \"sqrt%28%2825-3%29%2F25%29\" = \"sqrt%2822%2F25%29\" = \"sqrt%2822%29%2F5\".\r\n" );
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\n" ); document.write( "To see more solved problems of this kind, look into the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Calculating trigonometric functions of angles\r
\n" ); document.write( "\n" ); document.write( "    - Advanced problems on calculating trigonometric functions of angles\r
\n" ); document.write( "\n" ); document.write( "    - Evaluating trigonometric expressions \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic  \"Trigonometry: Solved problems\". \r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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