What is the value of cos(pi/8)+sin(pi/8) ?

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

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cos(pi/8)+sin(pi/8)

cos (\frac{π}{8}) + sin (\frac{π}{8})

\frac{2 + 2}{2}

Solution steps

cos (\frac{π}{8}) + sin (\frac{π}{8})

Rewrite using trig identities:

2 sin (\frac{3 π}{8})

= 2 sin (\frac{3 π}{8})

Rewrite using trig identities:

sin (\frac{3 π}{8}) = \frac{2 + 2}{2}

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

Simplify

2 \frac{2 + 2}{2} : \frac{2 + 2}{2}

= \frac{2 + 2}{2}

2 (cos (30 0^{\circ}) + i sin (30 0^{\circ}))

28 \cdot cos (3 0^{\circ})

arccos (\frac{4}{42})

- sin (- 6 0^{\circ})

arctan (- 1.841)

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