Question

MEDAL
Simplify; (sin theta/cos theta)[cot(-theta)]

Answer 1

\[{\frac{b}{a}}\times (-{\frac{a}{b}})\]

Answer 2

cot(theta) = cos(theta)/sin(theta)

Answer 3

there is no trig here, other than recognizing
\[\cot(-\theta)=-\cot(\theta)=-\frac{\cos(\theta)}{\sin(\theta)}\]

Answer 4

so \[\frac{\sin(\theta)}{\cos(\theta)}\times -\frac{\cos(\theta)}{\sin(\theta)}=-1\]