What is the value of csc((7pi)/8) ?

The value of csc((7pi)/8) is 2sqrt(2-\sqrt{2)}+sqrt(2)sqrt(2-\sqrt{2)}

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csc((7pi)/8)

csc (\frac{7 π}{8})

2 2 - 2 + 2 2 - 2

Solution steps

csc (\frac{7 π}{8})

Rewrite using trig identities:

\frac{1}{sin ( \frac{7 π}{8} )}

= \frac{1}{sin ( \frac{7 π}{8} )}

Rewrite using trig identities:

sin (\frac{7 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

e^{0} + sin (0)

cos (\frac{3 π}{12})

20 cos (0)

cos (200 π)

arcsin (sin (\frac{17 π}{6}))

What is the value of csc((7pi)/8) ?
The value of csc((7pi)/8) is 2sqrt(2-\sqrt{2)}+sqrt(2)sqrt(2-\sqrt{2)}