What is the value of cos((7pi)/6)+isin((7pi)/6) ?

The value of cos((7pi)/6)+isin((7pi)/6) is -(sqrt(3))/2-i 1/2

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cos((7pi)/6)+isin((7pi)/6)

cos (\frac{7 π}{6}) + i sin (\frac{7 π}{6})

- \frac{3}{2} - i \frac{1}{2}

Solution steps

cos (\frac{7 π}{6}) + i sin (\frac{7 π}{6})

Rewrite using trig identities:

cos (\frac{7 π}{6}) = - \frac{3}{2}

Rewrite using trig identities:

sin (\frac{7 π}{6}) = - \frac{1}{2}

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

Simplify

= - \frac{3}{2} - i \frac{1}{2}

\frac{1 - cos ( 0.01 )}{0.01}

\frac{8}{sin ( 4 6 ^{\circ} )}

arcsin (\frac{2}{13})

arcsin (\frac{7}{16})

tan (\frac{π}{3}) tan (\frac{π}{3})

What is the value of cos((7pi)/6)+isin((7pi)/6) ?
The value of cos((7pi)/6)+isin((7pi)/6) is -(sqrt(3))/2-i 1/2