What is the value of 3sqrt(3)sin(pi/3)+3cos(pi/3) ?

The value of 3sqrt(3)sin(pi/3)+3cos(pi/3) is 6

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3sqrt(3)sin(pi/3)+3cos(pi/3)

33 sin (\frac{π}{3}) + 3 cos (\frac{π}{3})

6

Solution steps

33 sin (\frac{π}{3}) + 3 cos (\frac{π}{3})

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

= 33 \frac{3}{2} + 3 \cdot \frac{1}{2}

Simplify

33 \frac{3}{2} + 3 \cdot \frac{1}{2} : 6

= 6

- 3 + 4 cos (\frac{π}{3})

tan (3 0^{\circ}) + cos (3 0^{\circ})

cos (\frac{π}{6}) - sin (\frac{π}{6})

sin (38 0^{\circ})

arccos (\frac{43}{48})

What is the value of 3sqrt(3)sin(pi/3)+3cos(pi/3) ?
The value of 3sqrt(3)sin(pi/3)+3cos(pi/3) is 6