What is the general solution for 100+60sin((7pi)/3 x)=100 ?

The general solution for 100+60sin((7pi)/3 x)=100 is x=(6n)/7 ,x= 3/7+(6n)/7

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100+60sin((7pi)/3 x)=100

100 + 60 sin (\frac{7 π}{3} x) = 100

x = \frac{6 n}{7}, x = \frac{3}{7} + \frac{6 n}{7}

Solution steps

100 + 60 sin (\frac{7 π}{3} x) = 100

Subtract

100

from both sides

100 + 60 sin (\frac{7 π}{3} x) - 100 = 100 - 100

Simplify

60 sin (\frac{7 π}{3} x) = 0

Divide both sides by

60

sin (\frac{7 π}{3} x) = 0

General solutions for

sin (\frac{7 π}{3} x) = 0

\frac{7 π}{3} x = 0 + 2 πn, \frac{7 π}{3} x = π + 2 πn

Solve

\frac{7 π}{3} x = 0 + 2 πn : x = \frac{6 n}{7}

Solve

\frac{7 π}{3} x = π + 2 πn : x = \frac{3}{7} + \frac{6 n}{7}

x = \frac{6 n}{7}, x = \frac{3}{7} + \frac{6 n}{7}

sin^{2} (a) = 3 cos^{2} (a)

3 cot (x) + 3 = 0

3 cos (x) + \frac{9}{2} = 5 + 4 cos (x)

sec (2 x) + 2 = 0

3 sin (x + 2 0^{\circ}) - 0.75 = 0

What is the general solution for 100+60sin((7pi)/3 x)=100 ?
The general solution for 100+60sin((7pi)/3 x)=100 is x=(6n)/7 ,x= 3/7+(6n)/7