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

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

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

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

\frac{2}{2}

Solution steps

cos (\frac{π}{12}) + cos (\frac{7 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}

(25) cos (26.5650400000000 \dots^{\circ})

tan (2 0^{\circ}) tan (4 0^{\circ}) tan (8 0^{\circ})

arcsin (- 1.98)

tan (3) (\frac{π}{4})

arctan (tan (\frac{2 π}{5}))

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