If $cot θ=\frac{80}{39}$, find the value of cosec θ.

$\frac{39}{80}$ $\frac{89}{39}$ $\frac{39}{89}$ $\frac{89}{80}$

$\frac{89}{39}$

cotθ =  \(\frac{80 }{39}\) { cotθ =  \(\frac{B }{P}\) } P² + B² = H² 39² + 80² = H² H = 89 Now, cosec θ = \(\frac{H }{P}\) = \(\frac{89 }{39}\)