pwndogmaster1
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- Dec 1, 2014
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17. The exact value of \(\displaystyle \cos\left(\dfrac{u}{2}\right)\) when \(\displaystyle 3\pi\, <\, u\, <\, \dfrac{7\pi}{2}\) and \(\displaystyle \tan (u)\, =\, \dfrac{\sqrt{5\,}}{2}\) is:
a) \(\displaystyle \pm\, \sqrt{\dfrac{5}{6}\,}\). . .b) \(\displaystyle \pm\, \sqrt{\dfrac{1}{6}\,}\). . .c) \(\displaystyle -\sqrt{\dfrac{5}{6}\,}\). . .d) \(\displaystyle -\sqrt{\dfrac{2}{3}\,}\)
e) \(\displaystyle -\sqrt{\dfrac{1}{6}\,}\). . .f) \(\displaystyle \sqrt{\dfrac{1}{6}\,}\). . .g) \(\displaystyle \sqrt{\dfrac{5}{6}\,}\). . .h) None of these.
a) \(\displaystyle \pm\, \sqrt{\dfrac{5}{6}\,}\). . .b) \(\displaystyle \pm\, \sqrt{\dfrac{1}{6}\,}\). . .c) \(\displaystyle -\sqrt{\dfrac{5}{6}\,}\). . .d) \(\displaystyle -\sqrt{\dfrac{2}{3}\,}\)
e) \(\displaystyle -\sqrt{\dfrac{1}{6}\,}\). . .f) \(\displaystyle \sqrt{\dfrac{1}{6}\,}\). . .g) \(\displaystyle \sqrt{\dfrac{5}{6}\,}\). . .h) None of these.
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