What is the value of 6(cos(150)+isin(150)) ?

The value of 6(cos(150)+isin(150)) is -3sqrt(3)+3i

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6(cos(150)+isin(150))

6 (cos (15 0^{\circ}) + i sin (15 0^{\circ}))

- 33 + 3 i

Solution steps

6 (cos (15 0^{\circ}) + i sin (15 0^{\circ}))

Use the following trivial identity:

cos (15 0^{\circ}) = - \frac{3}{2}

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

= 6 (- \frac{3}{2} + i \frac{1}{2})

Simplify

6 (- \frac{3}{2} + i \frac{1}{2}) : - 33 + 3 i

= - 33 + 3 i

arcsin (\frac{2}{11})

2 - 4 cos (\frac{3 π}{2})

ln tan (\frac{π}{3}) + sec (π^{3})

arctan (tan (\frac{83}{63} π))

tan (\frac{18}{2 45})

What is the value of 6(cos(150)+isin(150)) ?
The value of 6(cos(150)+isin(150)) is -3sqrt(3)+3i