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

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

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

simplify

2 sin (2 x - \frac{π}{3}) + 1

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

Solution steps

2 sin (2 x - \frac{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

csc (- θ)

\frac{d x}{cos ^{2} ( x )}

cos (y + π)

sin (n - \frac{π}{2})

cos (- π x)

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