What is the value of sec((11pi)/8) ?

The value of sec((11pi)/8) is -2sqrt(2-\sqrt{2)}-sqrt(2)sqrt(2-\sqrt{2)}

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sec((11pi)/8)

sec (\frac{11 π}{8})

- 2 2 - 2 - 2 2 - 2

Solution steps

sec (\frac{11 π}{8})

Rewrite using trig identities:

\frac{1}{cos ( \frac{11 π}{8} )}

= \frac{1}{cos ( \frac{11 π}{8} )}

Rewrite using trig identities:

cos (\frac{11 π}{8}) = - \frac{2 - 2}{2}

= \frac{1}{- \frac{2 - 2}{2}}

Simplify

\frac{1}{- \frac{2 - 2}{2}} : - 2 2 - 2 - 2 2 - 2

= - 2 2 - 2 - 2 2 - 2

7 arctan (1)

3 (2.5) + sin (2.5) - e^{2.5}

arccos (\frac{1}{2 \cdot 29})

cos^{2} (\frac{π}{11}) - sin^{2} (\frac{π}{11})

99 tan (5 0^{\circ})

What is the value of sec((11pi)/8) ?
The value of sec((11pi)/8) is -2sqrt(2-\sqrt{2)}-sqrt(2)sqrt(2-\sqrt{2)}