What is the value of cos(1.6pi) ?

The value of cos(1.6pi) is (sqrt(2)sqrt(3-\sqrt{5)})/4

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cos(1.6pi)

cos (1.6 π)

\frac{2 3 - 5}{4}

Solution steps

cos (1.6 π)

= cos (\frac{8}{5} π)

Simplify:

\frac{8}{5} π = \frac{8 π}{5}

= cos (\frac{8 π}{5})

Rewrite using trig identities:

- sin (\frac{11 π}{10})

= - sin (\frac{11 π}{10})

Rewrite using trig identities:

sin (\frac{11 π}{10}) = - \frac{2 3 - 5}{4}

= - (- \frac{2 3 - 5}{4})

Simplify

= \frac{2 3 - 5}{4}

tan (\frac{2}{7})

cot (5 3^{\circ})

cos (\frac{3 π}{4} - \frac{5 π}{6})

ln (tan (\frac{π}{2}))

sin (\frac{0}{0})

What is the value of cos(1.6pi) ?
The value of cos(1.6pi) is (sqrt(2)sqrt(3-\sqrt{5)})/4