What is the value of (5pi)/6+2cos((5pi)/6) ?

The value of (5pi)/6+2cos((5pi)/6) is (5pi)/6-sqrt(3)

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(5pi)/6+2cos((5pi)/6)

\frac{5 π}{6} + 2 cos (\frac{5 π}{6})

\frac{5 π}{6} - 3

Solution steps

\frac{5 π}{6} + 2 cos (\frac{5 π}{6})

Use the following trivial identity:

cos (\frac{5 π}{6}) = - \frac{3}{2}

= \frac{5 π}{6} + 2 (- \frac{3}{2})

Simplify

\frac{5 π}{6} + 2 (- \frac{3}{2}) : \frac{5 π}{6} - 3

= \frac{5 π}{6} - 3

arctan (\frac{0.1}{cos ( 3 )})

\frac{tan ( 5 0 ^{\circ} )}{cot ( 4 0 ^{\circ} )} + \frac{5 csc ( 2 0 ^{\circ} )}{sec ( 7 0 ^{\circ} )}

sec^{2} (arctan (2)) + csc^{2} (arccot (3))

arccos (0.375)

arccos (1.6)

What is the value of (5pi)/6+2cos((5pi)/6) ?
The value of (5pi)/6+2cos((5pi)/6) is (5pi)/6-sqrt(3)