What is the value of 1/8 [cos(0)+2cos(1/16)+2cos(1/4)+2cos(9/16)+cos(1)] ?

The value of 1/8 [cos(0)+2cos(1/16)+2cos(1/4)+2cos(9/16)+cos(1)] is 0.89575…

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1/8 [cos(0)+2cos(1/16)+2cos(1/4)+2cos(9/16)+cos(1)]

\frac{1}{8} [cos (0) + 2 cos (\frac{1}{16}) + 2 cos (\frac{1}{4}) + 2 cos (\frac{9}{16}) + cos (1)]

0.89575 \dots

Solution steps

\frac{1}{8} [cos (0) + 2 cos (\frac{1}{16}) + 2 cos (\frac{1}{4}) + 2 cos (\frac{9}{16}) + cos (1)]

Refine to a decimal form

= 0.89575 \dots

tan^{2} (4 5^{\circ} + \frac{25}{2}) \cdot e^{π \cdot t a n (2 5^{\circ})}

arccos (\frac{24}{28})

sec (6 3^{\circ})

2 arctan (e^{0})

arctan (\frac{3}{- 7})

What is the value of 1/8 [cos(0)+2cos(1/16)+2cos(1/4)+2cos(9/16)+cos(1)] ?
The value of 1/8 [cos(0)+2cos(1/16)+2cos(1/4)+2cos(9/16)+cos(1)] is 0.89575…