What is 2sin(2x+15) ?

The solution to 2sin(2x+15) is 2((sqrt(6)+sqrt(2))/4 sin(2x)+(sqrt(6)-sqrt(2))/4 cos(2x))

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simplify 2sin(2x+15)

simplify

2 sin (2 x + 1 5^{\circ})

2 (\frac{6 + 2}{4} sin (2 x) + \frac{6 - 2}{4} cos (2 x))

Solution steps

2 sin (2 x + 1 5^{\circ})

Rewrite using trig identities

= 2 (\frac{6 + 2}{4} sin (2 x) + \frac{6 - 2}{4} cos (2 x))

2 \cdot sin (2 x + \frac{π}{2})

sin (x - \frac{11 π}{2})

cot (\frac{π}{2} + θ)

arccos (\frac{r}{cos ( θ )})

sin (x + \frac{5 π}{12})

What is 2sin(2x+15) ?
The solution to 2sin(2x+15) is 2((sqrt(6)+sqrt(2))/4 sin(2x)+(sqrt(6)-sqrt(2))/4 cos(2x))