If 4Cos2Î¸=3 then Î¸=ââââ

If $4Co{s}^{2}\mathrm{Î¸}=3$ then $\mathrm{Î¸}=ââââ$

1. A

$\frac{\mathrm{Ï}}{6},\frac{5\mathrm{Ï}}{6}$

2. B

$\frac{\mathrm{Ï}}{4},\frac{3\mathrm{Ï}}{4}$

3. C

$\frac{\mathrm{Ï}}{3},\frac{2\mathrm{Ï}}{3}$

4. D

$Â±\frac{\mathrm{Ï}}{2}$

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Solution:

$4{\mathrm{cos}}^{2}\mathrm{Î¸}=3$

$âco{s}^{2}\mathrm{Î¸}={\left(\frac{\sqrt{3}}{2}\right)}^{2}â\mathrm{Î¸}=n\mathrm{Ï}Â±\frac{\mathrm{Ï}}{6}$

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