Practicing Success
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If $cos^{-1}\left(\frac{n}{2\pi}\right) > \frac{2\pi}{3}$, then maximum and minimum values of integer n are respectively |
-6 and -3 -6 and -4 3 and 6 4 and 6 |
-6 and -4 |
We have,
$cos^{-1}\left(\frac{n}{2\pi}\right) > \frac{2\pi}{3}$ $ ⇒ - 1 < \frac{n}{2\pi} < -\frac{1}{2}$ $ ⇒ -2 \pi < n < - \pi $ $ ⇒ -6.18 < n < - 3.14 $ $ ⇒ -6 ≤ n ≤ -4 $ where n ∈ Z. |
