What is the general solution for sin(x+45)=(sqrt(3))/2 ?

The general solution for sin(x+45)=(sqrt(3))/2 is x=360n+15,x=360n+75

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sin(x+45)=(sqrt(3))/2

sin (x + 4 5^{\circ}) = \frac{3}{2}

x = 36 0^{\circ} n + 1 5^{\circ}, x = 36 0^{\circ} n + 7 5^{\circ}

Solution steps

sin (x + 4 5^{\circ}) = \frac{3}{2}

General solutions for

sin (x + 4 5^{\circ}) = \frac{3}{2}

x + 4 5^{\circ} = 6 0^{\circ} + 36 0^{\circ} n, x + 4 5^{\circ} = 12 0^{\circ} + 36 0^{\circ} n

Solve

x + 4 5^{\circ} = 6 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 1 5^{\circ}

Solve

x + 4 5^{\circ} = 12 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 7 5^{\circ}

x = 36 0^{\circ} n + 1 5^{\circ}, x = 36 0^{\circ} n + 7 5^{\circ}

tan (\frac{x}{2}) - 3 = 0

5 sin (x) - 3 sin (3 x) = 2 sin (x)

tan (θ) = 652.70364

sec (x) + 2 = 22

2 csc^{2} (x) - 5 csc (x) + 2 = 0

What is the general solution for sin(x+45)=(sqrt(3))/2 ?
The general solution for sin(x+45)=(sqrt(3))/2 is x=360n+15,x=360n+75