Find cotangent of theta if cosecant of theta equals 8/3?

Question

If you use the pythagorean identities, and say that cotangent ^2 = cosecant ^2 -1, how do you solve?

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Answer 1 · 2018-04-07T23:34:40

$cottheta=sqrt55/3$

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$cot^2theta=csc^2theta-1$

$cot^2theta=(8/3)^2-1=64/9-1=55/9$

$cottheta=sqrt55/3$