Mathematics

The key is to use the Pythagorean identity that connects cotangent and cosecant. Since $\cot\theta = \frac{\text{adjacent}}{\text{opposite}}$, you can build a right triangle with those sides, then find the hypotenuse using the Pythagorean theorem. Once you have all three sides, $\csc\theta$ (the reciprocal of sine) follows directly.

The key is to use the Pythagorean identity that connects cotangent and cosecant. Since $\cot\theta = \frac{\text{adjacent}}{\text{opposite}}$, you can build a right triangle with those sides, then find the hypotenuse using the Pythagorean theorem. Once you have all three sides, $\csc\theta$ (the reciprocal of sine) follows directly.