What is 3cos(2pi-(2pi)/3)n ?

The solution to 3cos(2pi-(2pi)/3)n is -(3n)/2

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simplify 3cos(2pi-(2pi)/3)n

simplify

3 cos (2 π - \frac{2 π}{3}) n

- \frac{3 n}{2}

Solution steps

3 cos (2 π - \frac{2 π}{3}) n

Rewrite using trig identities

= 3 (- \frac{1}{2}) n

Simplify

3 (- \frac{1}{2}) n : - \frac{3 n}{2}

= - \frac{3 n}{2}

sin (9 0^{\circ} + A)

sin (2 πn - \frac{π}{2})

sin (- 1 cos^{2} (x))

- sin (πn)

2 cos (α + \frac{π}{4})