What is the general solution for sin(3x-6)= 1/2 ?

The general solution for sin(3x-6)= 1/2 is x=(360n)/3+12,x=(360n)/3+52

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sin(3x-6)= 1/2

sin (3 x - 6^{\circ}) = \frac{1}{2}

x = \frac{36 0 ^{\circ} n}{3} + 1 2^{\circ}, x = \frac{36 0 ^{\circ} n}{3} + 5 2^{\circ}

Solution steps

sin (3 x - 6^{\circ}) = \frac{1}{2}

General solutions for

sin (3 x - 6^{\circ}) = \frac{1}{2}

3 x - 6^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, 3 x - 6^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

Solve

3 x - 6^{\circ} = 3 0^{\circ} + 36 0^{\circ} n : x = \frac{36 0 ^{\circ} n}{3} + 1 2^{\circ}

Solve

3 x - 6^{\circ} = 15 0^{\circ} + 36 0^{\circ} n : x = \frac{36 0 ^{\circ} n}{3} + 5 2^{\circ}

x = \frac{36 0 ^{\circ} n}{3} + 1 2^{\circ}, x = \frac{36 0 ^{\circ} n}{3} + 5 2^{\circ}

sin (θ) = \frac{12}{17}

\frac{41412}{194874} = tan (θ)

4 cos (β) sin (β) + 2 sin (β) - 2 cos (β) - 1 = 0

5 sin^{2} (x) = cos (x)

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

What is the general solution for sin(3x-6)= 1/2 ?
The general solution for sin(3x-6)= 1/2 is x=(360n)/3+12,x=(360n)/3+52