What is 3cos^3(x/5-pi) ?

The solution to 3cos^3(x/5-pi) is -3cos^3(x/5)

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simplify 3cos^3(x/5-pi)

simplify

3 cos^{3} (\frac{x}{5} - π)

- 3 cos^{3} (\frac{x}{5})

Solution steps

3 cos^{3} (\frac{x}{5} - π)

Rewrite using trig identities

= 3 (- cos (\frac{x}{5}))^{3}

Simplify

3 (- cos (\frac{x}{5}))^{3} : - 3 cos^{3} (\frac{x}{5})

= - 3 cos^{3} (\frac{x}{5})

sin (- t + \frac{π}{4})

cos (15 0^{\circ} + x)

cot (arcsin (\frac{1}{v}))

tan (45 0^{\circ} - x)

sin (\frac{3}{2} π + x)