# How do you solve #3tan^2x-1=0# for #0<=x<=360#?

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To solve the equation 3tan^2(x) - 1 = 0 for 0 ≤ x ≤ 360 degrees:

- Add 1 to both sides: 3tan^2(x) = 1
- Divide both sides by 3: tan^2(x) = 1/3
- Take the square root of both sides: tan(x) = ±√(1/3)
- Solve for x:
- For positive square root: x = tan^(-1)(√(1/3))
- For negative square root: x = tan^(-1)(-√(1/3))

These solutions will give you the values of x in the specified range of 0 to 360 degrees.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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