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

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

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4(cos(pi/4)+isin(pi/4))

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

22 + 22 i

Solution steps

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

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

= 4 (\frac{2}{2} + i \frac{2}{2})

Simplify

4 (\frac{2}{2} + i \frac{2}{2}) : 22 + 22 i

= 22 + 22 i

\frac{12}{tan ( 5 5 ^{\circ} )}

arccos (\frac{1}{7})

sin (\frac{15 π}{6})

tan (5)

- cos (\frac{4 π}{3})

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