What is the value of cos(pi/(12))+sin(pi/(12)) ?

The value of cos(pi/(12))+sin(pi/(12)) is (sqrt(6))/2

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cos(pi/(12))+sin(pi/(12))

cos (\frac{π}{12}) + sin (\frac{π}{12})

\frac{6}{2}

Solution steps

cos (\frac{π}{12}) + sin (\frac{π}{12})

Rewrite using trig identities:

cos (\frac{π}{12}) = \frac{6 + 2}{4}

Rewrite using trig identities:

sin (\frac{π}{12}) = \frac{6 - 2}{4}

= \frac{6 + 2}{4} + \frac{6 - 2}{4}

Simplify

\frac{6 + 2}{4} + \frac{6 - 2}{4} : \frac{6}{2}

= \frac{6}{2}

tan (- 6)

\frac{5}{4} \cdot cos (3 0^{\circ})

cos^{2} (5 6^{\circ})

2 + 4 sin (3 0^{\circ})

\frac{8}{sin ( 5 8 ^{\circ} )}

What is the value of cos(pi/(12))+sin(pi/(12)) ?
The value of cos(pi/(12))+sin(pi/(12)) is (sqrt(6))/2