What is the value of 4.5cos(pi/6 (12-1))+18.6 ?

The value of 4.5cos(pi/6 (12-1))+18.6 is (45sqrt(3)+372)/(20)

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4.5cos(pi/6 (12-1))+18.6

4.5 cos (\frac{π}{6} (12 - 1)) + 18.6

\frac{45 3 + 372}{20}

Solution steps

4.5 cos (\frac{π}{6} (12 - 1)) + 18.6

= \frac{9}{2} cos (\frac{π}{6} (12 - 1)) + \frac{93}{5}

Simplify:

\frac{π}{6} (12 - 1) = \frac{11 π}{6}

\frac{9}{2} cos (\frac{11 π}{6}) + \frac{93}{5} = \frac{45 cos ( \frac{11 π}{6} ) + 186}{10}

= \frac{45 cos ( \frac{11 π}{6} ) + 186}{10}

Rewrite using trig identities:

cos (\frac{11 π}{6}) = \frac{3}{2}

= \frac{45 \cdot \frac{3}{2} + 186}{10}

Simplify

\frac{45 \cdot \frac{3}{2} + 186}{10} : \frac{45 3 + 372}{20}

= \frac{45 3 + 372}{20}

\frac{4.94}{tan ( 25.2 3 ^{\circ} )}

arctan (\frac{0.6}{0.75})

8^{2} + 5^{2} - 2 (8) (5) cos (11 1^{\circ})

\frac{161.4 \cdot sin ( 5 0 ^{\circ} ) - 210.7}{21.5}

- cos (π) - (- cos (- π))

What is the value of 4.5cos(pi/6 (12-1))+18.6 ?
The value of 4.5cos(pi/6 (12-1))+18.6 is (45sqrt(3)+372)/(20)