What is the value of (2(cos(30)+isin(30)))/(3(cos(60)+isin(60))) ?

The value of (2(cos(30)+isin(30)))/(3(cos(60)+isin(60))) is 0.57735…-0.33333…i

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(2(cos(30)+isin(30)))/(3(cos(60)+isin(60)))

\frac{2 ( cos ( 3 0 ^{\circ} ) + i sin ( 3 0 ^{\circ} ) )}{3 ( cos ( 6 0 ^{\circ} ) + i sin ( 6 0 ^{\circ} ) )}

0.57735 \dots - 0.33333 \dots i

Solution steps

\frac{2 ( cos ( 3 0 ^{\circ} ) + i sin ( 3 0 ^{\circ} ) )}{3 ( cos ( 6 0 ^{\circ} ) + i sin ( 6 0 ^{\circ} ) )}

Refine to a decimal form

= 0.57735 \dots - 0.33333 \dots i

arccot (tan (6))

- 2 cos (\frac{11 π}{6})

arcsin (\frac{50 sin ( 2 5 ^{\circ} )}{35})

\frac{cos ( 7 π )}{6}

5 cos (5 6^{\circ})

What is the value of (2(cos(30)+isin(30)))/(3(cos(60)+isin(60))) ?
The value of (2(cos(30)+isin(30)))/(3(cos(60)+isin(60))) is 0.57735…-0.33333…i