calculus - Trigonometric limit $lim_{xtopi/4}frac{1-tan x}{1-sqrt{2}sin x}$

The limit is
$$\lim_{x\to\pi/4}\frac{1-\tan x}{1-\sqrt{2}\sin x}$$ I was able to solve it using L'hopital and the answer that I got was $2$.

Can you please confirm if the answer is right and suggest some other way to evaluate the limit without using L'hopital?