What is the value of cos(pi/4)+sin(pi/4)i ?

The value of cos(pi/4)+sin(pi/4)i is (sqrt(2))/2+(sqrt(2))/2 i

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cos(pi/4)+sin(pi/4)i

cos (\frac{π}{4}) + sin (\frac{π}{4}) i

\frac{2}{2} + \frac{2}{2} i

Solution steps

cos (\frac{π}{4}) + sin (\frac{π}{4}) i

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

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

\frac{tan ( 5 π )}{3}

arctan (- 23)

3 sin (2 \frac{π}{4})

4 cos (10 8^{\circ})

cos (7.6)

What is the value of cos(pi/4)+sin(pi/4)i ?
The value of cos(pi/4)+sin(pi/4)i is (sqrt(2))/2+(sqrt(2))/2 i