document.write( "Question 760624: cosecant theta 9
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document.write( "Cotangent theta 3
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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
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document.write( "THANKYOU \n" );
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Algebra.Com's Answer #462773 by stanbon(75887)![]() ![]() ![]() 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( " |