Answer
$$\frac{\sin\beta\tan\beta}{\cos\beta}=\tan^2\beta$$
Work Step by Step
$$A=\frac{\sin\beta\tan\beta}{\cos\beta}$$
$$A=\Bigg(\frac{\sin\beta}{\cos\beta}\Bigg)\tan\beta$$
- Quotient Identity: $$\frac{\sin\beta}{\cos\beta}=\tan\beta$$
Apply to $A$:
$$A=\tan\beta\tan\beta$$
$$A=\tan^2\beta$$
