anonymous
  • anonymous
Find cot theta if csc theta =-sqrt37/6 and tan theta>0
Mathematics
katieb
  • katieb
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freckles
  • freckles
\[\sin^2(x)+\cos^2(x)=1 \\ \text{ divide both sides by } \sin^2(x) \\ 1+\cot^2(x)=\csc^2(x) \\ 1+(\cot(x))^2=(\csc(x))^2 \\ \]
freckles
  • freckles
replace csc(x) with -sqrt(37)/6 and then solve for cot(x)
freckles
  • freckles
and yes I changed your theta to x

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freckles
  • freckles
keep in mind if tangent is positive then so is cotangent so you will take the positive answer
anonymous
  • anonymous
Thank you!
freckles
  • freckles
np

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