Find the value of x to the nearest tenth
2 answers:
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The tangent ratio is an illustration of the trigonometry identity
The value of x that is not a solution of tan(x) = 1 is 3/4
The trigonometry identity is given as:
tan(x) = 1
Next, we test the x values using a calculator.
When , we have:
tan(-7/4) = 1
When x = 3/4, we have:
tan(3/4) = -1
When x = 5/4, we have:
tan(5/4) = 1
When x = /4, we have:
tan(/4) = 1
Hence, the value of x that is not a solution of tan(x) = 1 is 3/4
Read more about trigonometry identity at:
I'm thinking this is what the problem looks like: 
. The first thing to do is to move the 
over to the other side because it has a common denominator with the other side. Doing that and at the same time combining them over their common denominator looks like this: 
. The best way to solve for x now is to cross-multiply to get 3(4-x)=-4(x-4). Distributing through the parenthesis is 12 - 3x = -4x + 16. Solving for x gives us x = 4. Of course when we sub a 4 back in for x we get real problems, don't we? Dividing by zero breaks every rule in math that there ever was! So, yes, the solution is extraneous.