What is the value of cos((7pi)/(12))+cos(pi/(12)) ?

The value of cos((7pi)/(12))+cos(pi/(12)) is (sqrt(2))/2

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cos((7pi)/(12))+cos(pi/(12))

cos (\frac{7 π}{12}) + cos (\frac{π}{12})

\frac{2}{2}

Solution steps

cos (\frac{7 π}{12}) + cos (\frac{π}{12})

Rewrite using trig identities:

2 cos (\frac{π}{3}) cos (\frac{π}{4})

= 2 cos (\frac{π}{3}) cos (\frac{π}{4})

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

cos (\frac{π}{4}) = \frac{2}{2}

= 2 \cdot \frac{1}{2} \cdot \frac{2}{2}

Simplify

2 \cdot \frac{1}{2} \cdot \frac{2}{2} : \frac{2}{2}

= \frac{2}{2}

arctan (\frac{- 2}{- 6})

200 \cdot cos (6 0^{\circ})

sinh (3 + 4 i)

sin (\frac{7 π}{12}) + sin (\frac{π}{12})

sin (- 28 5^{\circ})

What is the value of cos((7pi)/(12))+cos(pi/(12)) ?
The value of cos((7pi)/(12))+cos(pi/(12)) is (sqrt(2))/2