What is the value of 8(cos(60)+i*sin(60)) ?

The value of 8(cos(60)+i*sin(60)) is 4+4sqrt(3)i

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8(cos(60)+i*sin(60))

8 (cos (6 0^{\circ}) + i \cdot sin (6 0^{\circ}))

4 + 43 i

Solution steps

8 (cos (6 0^{\circ}) + i sin (6 0^{\circ}))

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

Use the following trivial identity:

sin (6 0^{\circ}) = \frac{3}{2}

= 8 (\frac{1}{2} + i \frac{3}{2})

Simplify

8 (\frac{1}{2} + i \frac{3}{2}) : 4 + 43 i

= 4 + 43 i

7 cos (5.8 \cdot π)

10 sin (13 5^{\circ})

1 0^{3} ln (10) + sec (1 0^{\circ})

sin (4 0^{\circ}) + sin (2 0^{\circ})

- \frac{1}{2} sin (9 0^{\circ})

What is the value of 8(cos(60)+i*sin(60)) ?
The value of 8(cos(60)+i*sin(60)) is 4+4sqrt(3)i