Question

Please help it's Precalculus

Answer 1

`\bf sin(\theta)=\cfrac{opposite}{hypotenuse} =\cfrac{y}{r} =\cfrac{1}{csc(\theta)} \\\\\\ % cosine \boxed{cos(\theta)=\cfrac{adjacent}{hypotenuse} =\cfrac{x}{r} =\cfrac{1}{sec(\theta)}} \\\\\\ % tangent tan(\theta)=\cfrac{opposite}{adjacent} =\cfrac{y}{x} =\cfrac{sin(\theta)}{cos(\theta)} \\\\\\`


`\bf cot(\theta)=\cfrac{adjacent}{opposite} =\cfrac{x}{y} =\cfrac{cos(\theta)}{sin(\theta)} \\\\\\ % cosecant csc(\theta)=\cfrac{hypotenuse}{opposite} =\cfrac{r}{y} =\cfrac{1}{sin(\theta)} \\\\\\ % secant sec(\theta)=\cfrac{hypotenuse}{adjacent} =\cfrac{r}{x} =\cfrac{1}{cos(\theta)}`