What is the value of 26cos(54) ?

The value of 26cos(54) is (13sqrt(2)sqrt(5-\sqrt{5)})/2

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26cos(54)

26 cos (5 4^{\circ})

\frac{13 2 5 - 5}{2}

Solution steps

26 cos (5 4^{\circ})

Rewrite using trig identities:

cos (5 4^{\circ}) = \frac{2 5 - 5}{4}

= 26 \cdot \frac{2 5 - 5}{4}

Simplify

26 \cdot \frac{2 5 - 5}{4} : \frac{13 2 5 - 5}{2}

= \frac{13 2 5 - 5}{2}

2 + sin (\frac{π}{6})

sin (180 0^{\circ})

π sin (π) + cos (π)

sin (15 0^{\circ}) + cos (24 0^{\circ}) - tan (31 5^{\circ})

arctan (\frac{7.9253}{22.356 - 12.184 - 7.061})

What is the value of 26cos(54) ?
The value of 26cos(54) is (13sqrt(2)sqrt(5-\sqrt{5)})/2