What is the general solution for 120=120sin(pi/3 c) ?

The general solution for 120=120sin(pi/3 c) is c= 3/2+6n

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120=120sin(pi/3 c)

120 = 120 sin (\frac{π}{3} c)

c = \frac{3}{2} + 6 n

Solution steps

120 = 120 sin (\frac{π}{3} c)

Switch sides

120 sin (\frac{π}{3} c) = 120

Divide both sides by

120

sin (\frac{π}{3} c) = 1

General solutions for

sin (\frac{π}{3} c) = 1

\frac{π}{3} c = \frac{π}{2} + 2 πn

Solve

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

c = \frac{3}{2} + 6 n

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

cot (x) cos^{2} (x) = 2 cot (x), 0 \leq x \leq 2 π

2 cot^{2} (3 θ) = 5 csc (3 θ) - 4

1 - cos^{2} (\frac{x}{2}) = cos^{2} (x)

1 = 2 sin (2 θ)

What is the general solution for 120=120sin(pi/3 c) ?
The general solution for 120=120sin(pi/3 c) is c= 3/2+6n