What is the value of (sin(60))/(1+cos(60)) ?

The value of (sin(60))/(1+cos(60)) is (sqrt(3))/3

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(sin(60))/(1+cos(60))

\frac{sin ( 6 0 ^{\circ} )}{1 + cos ( 6 0 ^{\circ} )}

\frac{3}{3}

Solution steps

\frac{sin ( 6 0 ^{\circ} )}{1 + cos ( 6 0 ^{\circ} )}

Use the following trivial identity:

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

Use the following trivial identity:

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

= \frac{\frac{3}{2}}{1 + \frac{1}{2}}

Simplify

\frac{\frac{3}{2}}{1 + \frac{1}{2}} : \frac{3}{3}

= \frac{3}{3}

2 (cos (\frac{π}{2}) + i sin (\frac{π}{2}))

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

sin (π \cdot 2)

sin (\frac{π}{6} + 0.01)

8 sin (π)

What is the value of (sin(60))/(1+cos(60)) ?
The value of (sin(60))/(1+cos(60)) is (sqrt(3))/3