Skip to content / Đến nội dung
ThichHocToan.com

1973 AMC 12 Question 17

AMC12 · 1973 AMC 12

Question 17

If $\theta$ is an acute angle and $$
\sin\frac12\theta=\sqrt{\frac{x-1}{2x}},
$$ then $\tan\theta$ equals
  1. $x$
  2. $\dfrac1x$
  3. $\dfrac{\sqrt{x-1}}{x+1}$
  4. $\dfrac{\sqrt{x^2-1}}x$
  5. $\sqrt{x^2-1}$