Question 918951: Solve for x: (this will be an inverse trigonometric expression, not a numeric answer). 25y=5cos(3x-6)
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i ran out of time but i think this is the correct answer.
check it out and see if you agree.
i graphed it and it looks ok but i don't have the time to extensively test it, although i'm pretty sure it's what you need.
basic definition is that y = cos(x) if and only if x = arc-cosine(y)
in your problem, you would use this as follows:
start with 25y = 5 * cosine(3x-6)
divide both sides of the equation by 5 to get:
5y = cosine(3x-6)
this is true if and only if arc-cosine(5y) = 3x - 6
add 6 to both sides of the equation to get:
arc-cosine(5y) + 6 = 3x
divide both sides of the equation by 3 to get:
x = (arc-cosine(5y) + 6) / 3
that should be your solution.
i tested it on 5y = 1/2
if 5y = 1/2, then arc-cosine (5y) = 60 degrees.
can't continue.
i have to leave now.
if you have further questions on this send them to me and i'll look at them later this evening or tomorrow morning.
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