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Combination

The value of ...

Question

The value of arc sec(1/4 summation k running from 0 to 10 such that sec[(7+6k)pie/12]sec[(13+k)pie/12] in the interval [-pie/4 , 3pie/4 ] equals _____.

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Q. The value of

{sec}^{- 1} (\frac{1}{4} 10 \sum k = 0 sec (\frac{7 π}{12} + \frac{k π}{2}) sec (\frac{7 π}{12} + \frac{(k + 1) π}{2}))

in the interval

[- \frac{π}{4}, \frac{3 π}{4}]

Q. The value of

{sec}^{- 1} (\frac{1}{4} 10 \sum k = 0 sec (\frac{7 π}{12} + \frac{k π}{2}) sec (\frac{7 π}{12} + \frac{(k + 1) π}{2}))

in the interval

[- \frac{π}{4}, \frac{3 π}{4}]

\frac{{sin}^{4} x}{3} + \frac{{cos}^{4} x}{4} = \frac{1}{7},

then the value of

\frac{{sec}^{2} x}{3} + \frac{{cosec}^{2} x}{4}

{sec}^{2} α + {tan}^{2} α = \frac{13}{12}

{sec}^{4} α - {tan}^{4} α = . . .

{sec}^{2} θ + {tan}^{2} θ = \frac{13}{12}

{sec}^{4} θ - {tan}^{4} θ =

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