What is the value of cos(pi/3)+sin(pi/3) ?

The value of cos(pi/3)+sin(pi/3) is (1+sqrt(3))/2

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cos(pi/3)+sin(pi/3)

cos (\frac{π}{3}) + sin (\frac{π}{3})

\frac{1 + 3}{2}

Solution steps

cos (\frac{π}{3}) + sin (\frac{π}{3})

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

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

Simplify

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

= \frac{1 + 3}{2}

2 sin (18 0^{\circ})

sec (arctan (4))

- 3 sin (3 \cdot \frac{π}{2})

8 sin (19 0^{\circ})

sec (\frac{π}{4}) + 2 csc (\frac{π}{3})

What is the value of cos(pi/3)+sin(pi/3) ?
The value of cos(pi/3)+sin(pi/3) is (1+sqrt(3))/2