Question 619103
solve: 
Use the fact that tan(beta)=4 to find: 
cot(beta),cos(beta)sec(beta) and csc(beta)
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You didn't say what Quadrant beta was in; I'll assume
it is in the 1st Quadrant where everything is positive.
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tan = y/x
Since y/x = 4, y = 4 and x = 1
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Then r = sqrt(x^2+y^2) = sqrt(17)
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So, 
cot = x/y = 1/4
cos = x/r = 1/sqrt(17)
sec = r/x = sqrt(17)
csc = r/y = sqrt(17)/4
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cheers,
Stan H.