Question

express cotA in terms of other trigonometric ratios

Answer 1

$\cot \mathrm{A}=\frac{\cos \mathrm{A}}{\sin \mathrm{A}}=\frac{\sqrt{1-{\sin }^2\mathrm{A}}}{\sin \mathrm{A}}=\frac{\cos \mathrm{A}}{\sqrt{1-{\cos }^2\mathrm{A}}}=\frac{1}{\tan \mathrm{A}}=\frac{1}{\sin \mathrm{A}\sec \mathrm{A}}=\frac{1}{\sqrt{{\sec }^2\mathrm{A}-1}}$