What is the value of cos((7pi)/(24)) ?

The value of cos((7pi)/(24)) is (sqrt(2)sqrt(4+\sqrt{2)(1-sqrt(3))})/4

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cos((7pi)/(24))

cos (\frac{7 π}{24})

\frac{2 4 + 2 ( 1 - 3 )}{4}

Solution steps

cos (\frac{7 π}{24})

Rewrite using trig identities:

\frac{1 + cos ( \frac{7 π}{12} )}{2}

= \frac{1 + cos ( \frac{7 π}{12} )}{2}

Rewrite using trig identities:

cos (\frac{7 π}{12}) = \frac{2 ( 1 - 3 )}{4}

= \frac{1 + \frac{2 ( 1 - 3 )}{4}}{2}

Simplify

\frac{1 + \frac{2 ( 1 - 3 )}{4}}{2} : \frac{2 4 + 2 ( 1 - 3 )}{4}

= \frac{2 4 + 2 ( 1 - 3 )}{4}

tan (4.71)

cos (8 6^{\circ})

(- 4)^{2} sin (- 4)

csc (- \frac{31 π}{6})

sec (arccos (- \frac{5}{6}))

What is the value of cos((7pi)/(24)) ?
The value of cos((7pi)/(24)) is (sqrt(2)sqrt(4+\sqrt{2)(1-sqrt(3))})/4