What is the general solution for 1.5=1+sin(x/3) ?

The general solution for 1.5=1+sin(x/3) is x= pi/2+6pin,x=(5pi)/2+6pin

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1.5=1+sin(x/3)

1.5 = 1 + sin (\frac{x}{3})

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

Solution steps

1.5 = 1 + sin (\frac{x}{3})

Switch sides

1 + sin (\frac{x}{3}) = 1.5

Move

1

to the right side

sin (\frac{x}{3}) = 0.5

General solutions for

sin (\frac{x}{3}) = 0.5

\frac{x}{3} = \frac{π}{6} + 2 πn, \frac{x}{3} = \frac{5 π}{6} + 2 πn

Solve

\frac{x}{3} = \frac{π}{6} + 2 πn : x = \frac{π}{2} + 6 πn

Solve

\frac{x}{3} = \frac{5 π}{6} + 2 πn : x = \frac{5 π}{2} + 6 πn

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

3 \cdot tan (x) + 2 sec (x) = 1

cos^{2} (a) = 2 cos^{2} (a) - 1

tan (3 b + 14) = cot (5 b + 4)

(2 sin (x) - cos (x)) (1 + cos (x)) = sin^{2} (x)

sec^{2} (x) + 2 tan^{2} (x) = 2

What is the general solution for 1.5=1+sin(x/3) ?
The general solution for 1.5=1+sin(x/3) is x= pi/2+6pin,x=(5pi)/2+6pin