If cosA - sinA = √3cos A, what is tanA?

Question

Accepted Answer

1. Start with the given: $\cos A - \sin A = \sqrt{3}\cos A$.

2. Move the $\sqrt{3}\cos A$ term: $\cos A - \sqrt{3}\cos A = \sin A$.

3. Factor the left side: $(1-\sqrt{3})\cos A = \sin A$.

4. Divide by $\cos A$ (it cannot satisfy the original equation if $\cos A=0$), so $	an A = 1-\sqrt{3}$.

FINAL_ANSWER: d

Answer

Answer

Answer