What is the general solution for 2sin(x)+4=5 ?

The general solution for 2sin(x)+4=5 is x= pi/6+2pin,x=(5pi)/6+2pin

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2sin(x)+4=5

2 sin (x) + 4 = 5

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

Solution steps

2 sin (x) + 4 = 5

Move

4

to the right side

2 sin (x) = 1

Divide both sides by

2

sin (x) = \frac{1}{2}

General solutions for

sin (x) = \frac{1}{2}

x = \frac{π}{6} + 2 πn, x = \frac{5 π}{6} + 2 πn

x, z = y sin (4 x)

csc (x) cot (x) = 0

\frac{1}{csc ^{2} ( a )} = 1 - sin^{2} (a)

5 cos (3 x) = - 3

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

What is the general solution for 2sin(x)+4=5 ?
The general solution for 2sin(x)+4=5 is x= pi/6+2pin,x=(5pi)/6+2pin