What is 2sin(x-30)+sin(x) ?

The solution to 2sin(x-30)+sin(x) is sqrt(3)sin(x)-cos(x)+sin(x)

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simplify 2sin(x-30)+sin(x)

simplify

2 sin (x - 3 0^{\circ}) + sin (x)

3 sin (x) - cos (x) + sin (x)

Solution steps

2 sin (x - 3 0^{\circ}) + sin (x)

Rewrite using trig identities

= 2 (\frac{3}{2} sin (x) - \frac{1}{2} cos (x)) + sin (x)

Expand

2 (\frac{3}{2} sin (x) - \frac{1}{2} cos (x)) : 3 sin (x) - cos (x)

= 3 sin (x) - cos (x) + sin (x)

5 cos (+ 7 sin^{2} (- 2 cos (x)))

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

3 sin (π x - \frac{π}{5})

tan (arcsin (\frac{2}{3 x}))

41 cos (0.215 x - 0.675)

What is 2sin(x-30)+sin(x) ?
The solution to 2sin(x-30)+sin(x) is sqrt(3)sin(x)-cos(x)+sin(x)