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

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

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cos(-(7pi)/8)

cos (- \frac{7 π}{8})

- \frac{2 + 2}{2}

Solution steps

cos (- \frac{7 π}{8})

Use the following property:

cos (- x) = cos (x)

cos (- \frac{7 π}{8}) = cos (\frac{7 π}{8})

= cos (\frac{7 π}{8})

Rewrite using trig identities:

- cos (\frac{π}{8})

= - cos (\frac{π}{8})

Rewrite using trig identities:

cos (\frac{π}{8}) = \frac{2 + 2}{2}

= - \frac{2 + 2}{2}

\frac{3.6 sin ( 11 9 ^{\circ} )}{sin ( 5 )}

2 sec^{2} (9) (0.1)

\frac{2 ( 19.4 ) sin ( 4 5 ^{\circ} )}{9.8}

7 sin (16 0^{\circ})

sec (\frac{7 π}{12})

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