SOLUTION: Please help me solve this idetity step by step (1+tan^2x)/tan^2x= 4/3

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Question 958693: Please help me solve this idetity step by step
(1+tan^2x)/tan^2x= 4/3

Found 2 solutions by Theo, Alan3354:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
start with (1 + tan^2(x)) / tan^2(x) = 4/3

multiply both sides of the equation by tan^2(x) to get:

1 + tan^2(x) = 4/3 * tan^2(x)

subtract tan^2(x) from both sides of the equation to get:

1 = 4/3 * tan^2(x) - tan^2(x)

simplify to get:

1 = 1/3 * tan^2(x)

multiply both sides of the equation by 3 to get:

3 = tan^2(x)

take the square root of both sides of the equation to get:

sqrt(3) = tan(x)

solve for x to get:

x = arctan(sqrt(3)) = 60 degrees.

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
That's not an identity.