Question

Could I get some help with this question on Trigonometric Identities?

Answer 1

`\bf 1-\cfrac{tan(\theta )cos(\theta )}{csc(\theta )}\implies 1-\cfrac{(sin(\theta ))/(cos(\theta ))cos(\theta )}{csc(\theta )} \\\\\\ \boxed{1-\cfrac{\frac{sin(\theta )}{\underline{cos(\theta )}}\cdot \underline{cos(\theta )}}{(1)/(sin(\theta ))}\implies 1-\cfrac{sin(\theta )}{(1)/(sin(\theta ))}}\implies 1-sin(\theta )sin(\theta )`