What is the general solution for 6sin(x)+15=15 ?

The general solution for 6sin(x)+15=15 is x=2pin,x=pi+2pin

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6sin(x)+15=15

6 sin (x) + 15 = 15

x = 2 πn, x = π + 2 πn

Solution steps

6 sin (x) + 15 = 15

Subtract

15

from both sides

6 sin (x) + 15 - 15 = 15 - 15

Simplify

6 sin (x) = 0

Divide both sides by

6

sin (x) = 0

General solutions for

sin (x) = 0

x = 0 + 2 πn, x = π + 2 πn

Solve

x = 0 + 2 πn : x = 2 πn

x = 2 πn, x = π + 2 πn

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

cos^{2} (x) + 4 cos (x) + 1 = 0

8 cos (2 θ) = - 8 cos (θ)

arcsin (x) = \frac{π}{4}

arcsin (x) = \frac{π}{3}

What is the general solution for 6sin(x)+15=15 ?
The general solution for 6sin(x)+15=15 is x=2pin,x=pi+2pin