SOLUTION: How do I algebraically solve for the general solution of {{{y=sin((pi/4)(x-6))=0.5}}}?

Question 1104614: How do I algebraically solve for the general solution of ?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

The general solution for is or .

So you want to solve
(1)
and
(2)

Solving either one for x is basic algebra. I'll do (1) and let you do (2)....

[distribute...]
[combine like terms...]
[divide out the common factor "pi"]

Any value of x of the form (20/3)+8k, where k is an integer, is a solution to the given equation.

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