The solution set for the given expression is {0, π/2, π}.
Which values of x are solutions for the given expression?
Here we have the expression:
[tex]tan(\frac{3\pi}{4} -2x) = -1[/tex]
First, we know that:
[tex]tan(\frac{3\pi}{4}) = -1[/tex]
So, if x = 0, the equation is true, which means that x = 0 is a solution.
And the tangent function as a period of pi.
This means that:
tan(x) = tan(x - π) = tan(x - 2*π) etc.
Then if x = π/2 and x = π also are solutions, so we conclude that the solution set is:
{0, π/2, π}
If you want to learn more about the tangent function:
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