What is the general solution for 2sin(x)+5sqrt(3)=6sqrt(3) ?

The general solution for 2sin(x)+5sqrt(3)=6sqrt(3) is x= pi/3+2pin,x=(2pi)/3+2pin

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2sin(x)+5sqrt(3)=6sqrt(3)

2 sin (x) + 53 = 63

x = \frac{π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn

Solution steps

2 sin (x) + 53 = 63

Move

53

to the right side

2 sin (x) = 3

Divide both sides by

2

sin (x) = \frac{3}{2}

General solutions for

sin (x) = \frac{3}{2}

x = \frac{π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn

- 5 \cdot cos (x) - 8.6602500000000 \dots \cdot sin (x) = - 5

y, cos (x) + cos (y) + cos (z) = 0

cos (x) = \frac{2}{5}

tan (\frac{x}{2} - \frac{π}{4}) = 3

53 tan (x) + 5 = 0

What is the general solution for 2sin(x)+5sqrt(3)=6sqrt(3) ?
The general solution for 2sin(x)+5sqrt(3)=6sqrt(3) is x= pi/3+2pin,x=(2pi)/3+2pin