document.write( "Question 143017: Given that tan(θ)=3/4 and θE(π,3π/2); find the values of the remaining five trigonometric functions of θ \n" ); document.write( "
Algebra.Com's Answer #104070 by stanbon(75887)\"\" \"About 
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Given that tan(θ)=3/4 and θE(π,3π/2); find the values of the remaining five trigonometric functions of θ
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\n" ); document.write( "If tan(theta) is 3/4, theta is in the 3rd quadrant where x= -4 and y =-3
\n" ); document.write( "because tan(theta) = y/x
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\n" ); document.write( "r = sqrt(x^2+y^2) = sqrt(3^2+4^2)= 5
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\n" ); document.write( "sin(theta) = y/r = -3/5
\n" ); document.write( "cos(theta) = x/r = -4/5
\n" ); document.write( "tan(theta) = y/x = -3/-4 = 3/4
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\n" ); document.write( "csc(theta) = r/x = -5/3
\n" ); document.write( "sec(theta) = r/y = -5/4
\n" ); document.write( "cot(theta) = x/y = -4/-3 = 4/3
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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