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Continuity of a Function

The value of ...

Question

The value of ${cos}^{2} (\frac{π}{4}) + {cos}^{4} (\frac{π}{6}) + {sin}^{4} (\frac{π}{3})$ is

A

\frac{26}{16}

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B

\frac{7}{16}

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C

\frac{5}{16}

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D

\frac{3}{16}

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Solution

The correct option is B $\frac{26}{16}$
$c o s^{2} (\frac{π}{4}) + c o s^{4} (\frac{π}{6}) + s i n^{4} (\frac{π}{3}) = \frac{1}{2} + \frac{9}{16} + \frac{9}{16} = \frac{26}{16}$

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