Practicing Success
Is sinx - 3cosx = $\sqrt{3}$ cos x, then the value of cot x is ___________. |
$ 3 - \sqrt{3}$ $ 3 + \sqrt{3}$ $\sqrt{3}$ $\frac{3-\sqrt{3}}{6}$ |
$\frac{3-\sqrt{3}}{6}$ |
sinx - 3cox = √3 cosx tanx - 3 = √3 tanx = 3 + √3 cotx = \(\frac{1}{tanx}\) = \(\frac{1}{3 + √3}\) = \(\frac{1}{3 + √3}\) = \(\frac{1}{3 + √3}\) × \(\frac{3 - √3}{3 - √3}\) = \(\frac{3 - √3}{6}\) |