document.write( "Question 760624: cosecant theta 9
\n" ); document.write( "and
\n" ); document.write( "Cotangent theta 3
\n" ); document.write( "Draw a right triangle and use the pythagoeran theorem to determine the third side and find the five remaining logarithmic functions of theta.\r
\n" ); document.write( "\n" ); document.write( "THANKYOU
\n" ); document.write( "

Algebra.Com's Answer #462773 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
cosecant theta = 9
\n" ); document.write( "and
\n" ); document.write( "Cotangent theta = 3
\n" ); document.write( "-----------------------------
\n" ); document.write( "Draw a right triangle and use the pythagoeran theorem to determine the third side and find the five remaining logarithmic functions of theta.
\n" ); document.write( "------
\n" ); document.write( "csc = r/y = 9/1
\n" ); document.write( "So r = 9 and y = 1
\n" ); document.write( "Solve for \"x\":
\n" ); document.write( "x = sqrt[r^2-y^2] = sqrt[81-1] = sqrt(80) = 4sqrt(5)
\n" ); document.write( "-----
\n" ); document.write( "sin = y/r = 1/9
\n" ); document.write( "cos = x/r = (4/9)sqrt(5)
\n" ); document.write( "tan = y/x = 1/(4sqrt(5))
\n" ); document.write( "----
\n" ); document.write( "csc = r/y = 9
\n" ); document.write( "sec = r/x = 9/(4sqrt(5))
\n" ); document.write( "cot = x/y = 4sqrt(5)
\n" ); document.write( "============================
\n" ); document.write( "cot = x/y = 3/1
\n" ); document.write( "So x = 3 and y = 1
\n" ); document.write( "r = sqrt(x^2 + y^2) = sqrt(9+1) = sqrt(10)
\n" ); document.write( "-----------
\n" ); document.write( "sin = y/r = 1/sqrt(10)
\n" ); document.write( "cos = x/r = 3/sqrt(10)
\n" ); document.write( "tan = y/x = 1/3
\n" ); document.write( "csc = r/y = sqrt(10)
\n" ); document.write( "sec = r/x = sqrt(10)/3
\n" ); document.write( "cot = x/y = 3/1 = 3
\n" ); document.write( "=========================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "======================
\n" ); document.write( "
\n" ); document.write( "
\n" );