What is the value of cos(pi/(12))+cos((5pi)/(12)) ?

The value of cos(pi/(12))+cos((5pi)/(12)) is sqrt(3/2)

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cos(pi/(12))+cos((5pi)/(12))

cos (\frac{π}{12}) + cos (\frac{5 π}{12})

\frac{3}{2}

Solution steps

cos (\frac{π}{12}) + cos (\frac{5 π}{12})

Rewrite using trig identities:

2 cos (\frac{π}{4}) cos (\frac{π}{6})

= 2 cos (\frac{π}{4}) cos (\frac{π}{6})

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

Use the following trivial identity:

cos (\frac{π}{6}) = \frac{3}{2}

= 2 \cdot \frac{2}{2} \cdot \frac{3}{2}

Simplify

2 \cdot \frac{2}{2} \cdot \frac{3}{2} : \frac{3}{2}

= \frac{3}{2}

arctan (2.6)

arcsin (- \frac{3}{2})

cot (4 2^{\circ})

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

2 arccot (e^{c s c (0)})

What is the value of cos(pi/(12))+cos((5pi)/(12)) ?
The value of cos(pi/(12))+cos((5pi)/(12)) is sqrt(3/2)