What is 10cos(120pit+30) ?

The solution to 10cos(120pit+30) is 10((sqrt(3))/2 cos(120pit)-1/2 sin(120pit))

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simplify 10cos(120pit+30)

simplify

10 cos (120 π t + 3 0^{\circ})

10 (\frac{3}{2} cos (120 π t) - \frac{1}{2} sin (120 π t))

Solution steps

10 cos (120 π t + 3 0^{\circ})

Rewrite using trig identities

= 10 (\frac{3}{2} cos (2160 0^{\circ} t) - \frac{1}{2} sin (2160 0^{\circ} t))

sin (2 (π + x)) - cos (π + x)

1 - tan (x + \frac{π}{3})

4 sin (x - \frac{π}{2})

\frac{r}{tan ( 5 4 ^{\circ} )}

- cos (π + x)

What is 10cos(120pit+30) ?
The solution to 10cos(120pit+30) is 10((sqrt(3))/2 cos(120pit)-1/2 sin(120pit))