What is the general solution for sin(2x+30)=-(sqrt(3))/2 ?

The general solution for sin(2x+30)=-(sqrt(3))/2 is x=180n+105,x=180n+135

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sin(2x+30)=-(sqrt(3))/2

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

x = 18 0^{\circ} n + 10 5^{\circ}, x = 18 0^{\circ} n + 13 5^{\circ}

Solution steps

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

General solutions for

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

2 x + 3 0^{\circ} = 24 0^{\circ} + 36 0^{\circ} n, 2 x + 3 0^{\circ} = 30 0^{\circ} + 36 0^{\circ} n

Solve

2 x + 3 0^{\circ} = 24 0^{\circ} + 36 0^{\circ} n : x = 18 0^{\circ} n + 10 5^{\circ}

Solve

2 x + 3 0^{\circ} = 30 0^{\circ} + 36 0^{\circ} n : x = 18 0^{\circ} n + 13 5^{\circ}

x = 18 0^{\circ} n + 10 5^{\circ}, x = 18 0^{\circ} n + 13 5^{\circ}

8 tan^{2} (θ) - 1 = 7 tan (θ)

2 sin^{(2)} (x) - 3 sin (x) + 1 = 0

sin (x + \frac{π}{4}) = 1

x, z = sin (2 x) + y^{2}

2 sin (x) \cdot (1 - sin^{2} (x)) - 6 sin^{3} (x) = 0

What is the general solution for sin(2x+30)=-(sqrt(3))/2 ?
The general solution for sin(2x+30)=-(sqrt(3))/2 is x=180n+105,x=180n+135