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

The general solution for sin(45+2α)=(sqrt(3))/2 is α=pin+pi/6-45/2 ,α=pin+pi/3-45/2

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sin(45+2α)=(sqrt(3))/2

sin (45 + 2 α) = \frac{3}{2}

α = πn + \frac{π}{6} - \frac{45}{2}, α = πn + \frac{π}{3} - \frac{45}{2}

Solution steps

sin (45 + 2 α) = \frac{3}{2}

General solutions for

sin (45 + 2 α) = \frac{3}{2}

45 + 2 α = \frac{π}{3} + 2 πn, 45 + 2 α = \frac{2 π}{3} + 2 πn

Solve

45 + 2 α = \frac{π}{3} + 2 πn : α = πn + \frac{π}{6} - \frac{45}{2}

Solve

45 + 2 α = \frac{2 π}{3} + 2 πn : α = πn + \frac{π}{3} - \frac{45}{2}

α = πn + \frac{π}{6} - \frac{45}{2}, α = πn + \frac{π}{3} - \frac{45}{2}

θ, 2 sin (θ) - 5 = 0

(tan (x) - 3) (2 sin (x) - 1) = 0

- 2 (sin^{2} (x) - cos^{2} (x)) = 0

2 sin^{2} (x) - 5 sin (x) - 4 = 0

sin (θ) = 0.4815

What is the general solution for sin(45+2α)=(sqrt(3))/2 ?
The general solution for sin(45+2α)=(sqrt(3))/2 is α=pin+pi/6-45/2 ,α=pin+pi/3-45/2