What is 2sin(2x+(2pi)/3)+1 ?

The solution to 2sin(2x+(2pi)/3)+1 is -sin(2x)+sqrt(3)cos(2x)+1

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simplify 2sin(2x+(2pi)/3)+1

simplify

2 sin (2 x + \frac{2 π}{3}) + 1

- sin (2 x) + 3 cos (2 x) + 1

Solution steps

2 sin (2 x + \frac{2 π}{3}) + 1

Rewrite using trig identities

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

Expand

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

= - sin (2 x) + 3 cos (2 x) + 1

sin (- 4 π t + 4 π)

sin (arccos (\frac{x}{y}))

sin (χ - 6 0^{\circ})

2 sin (w (1.0475) + 90)

a^{2} - (a sin (θ))^{2}

What is 2sin(2x+(2pi)/3)+1 ?
The solution to 2sin(2x+(2pi)/3)+1 is -sin(2x)+sqrt(3)cos(2x)+1