document.write( "Question 963358: A function f(x) is of the form
\n" ); document.write( "f(x) = a + tan(bx)
\n" ); document.write( "where a and b are constants and
\n" ); document.write( "0 < b < 11
\n" ); document.write( "If
\n" ); document.write( "f(0) = 5
\n" ); document.write( " and
\n" ); document.write( "f(π/11) = 5 − squareroot 3
\n" ); document.write( "find a and b. (Decimal points in answers will be marked incorrect.)
\n" ); document.write( "

Algebra.Com's Answer #588527 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
A function f(x) is of the form
\n" ); document.write( "f(x) = a + tan(bx)
\n" ); document.write( "where a and b are constants and
\n" ); document.write( "0 < b < 11
\n" ); document.write( "If
\n" ); document.write( "f(0) = 5
\n" ); document.write( "and
\n" ); document.write( "f(π/11) = 5 − squareroot 3
\n" ); document.write( "find a and b. (Decimal points in answers will be marked incorrect.)
\n" ); document.write( "***
\n" ); document.write( "f(0)=5=a+tan(b*0)
\n" ); document.write( "a=5
\n" ); document.write( "..
\n" ); document.write( "for:[0,2π)
\n" ); document.write( "f(π/11)=5+tan(bπ/11)=5-√3
\n" ); document.write( "tan(bπ/11)=-√3
\n" ); document.write( "bπ/11=2π/3 and 5π/3 (in quadrants II and IV where tan<0)
\n" ); document.write( "b/11=2/3
\n" ); document.write( "b=22/3
\n" ); document.write( "and
\n" ); document.write( "b/11=5/3
\n" ); document.write( "b=55/3\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );