What is cos(2pi10^3t+pi/3) ?

The solution to cos(2pi10^3t+pi/3) is 1/2 cos(2000pit)-(sqrt(3))/2 sin(2000pit)

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simplify cos(2pi10^3t+pi/3)

simplify

cos (2 π 1 0^{3} t + \frac{π}{3})

\frac{1}{2} cos (2000 π t) - \frac{3}{2} sin (2000 π t)

Solution steps

cos (2 π 1 0^{3} t + \frac{π}{3})

Rewrite using trig identities

= \frac{1}{2} cos (2000 π t) - \frac{3}{2} sin (2000 π t)

sin (2 π f + 2 π)

sin (arcsin (5 x))

5 sin (6 t + 3 0^{\circ}) u (t)

cos (arctan (\frac{2}{x}))

3 csc (2) (t) - 6 e t d t

What is cos(2pi10^3t+pi/3) ?
The solution to cos(2pi10^3t+pi/3) is 1/2 cos(2000pit)-(sqrt(3))/2 sin(2000pit)