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

The value of cos(pi/6)+sin(pi/6) is (sqrt(3)+1)/2

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cos(pi/6)+sin(pi/6)

cos (\frac{π}{6}) + sin (\frac{π}{6})

\frac{3 + 1}{2}

Solution steps

cos (\frac{π}{6}) + sin (\frac{π}{6})

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

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

Simplify

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

= \frac{3 + 1}{2}

21 tan (5 2^{\circ})

cos (4 5^{\circ}) \cdot 2

sec (39 0^{\circ})

\frac{8 tan ( \frac{π}{8} )}{1 - tan ^{2} ( \frac{π}{8} )}

cos^{2} (8)

What is the value of cos(pi/6)+sin(pi/6) ?
The value of cos(pi/6)+sin(pi/6) is (sqrt(3)+1)/2