How do you find two solutions (in degree and radians) for cscx = (2sqrt3)/3?
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To find the solutions for the equation csc(x) = (2√3)/3, you can follow these steps:

Identify the reference angle θ in the first quadrant using the given value: csc(θ) = (2√3)/3. The reference angle is the angle whose sine is equal to the reciprocal of the given value. In this case, θ = 30 degrees or π/6 radians.

Recognize that csc(x) = 1/sin(x), so if csc(x) = (2√3)/3, then sin(x) = 3/(2√3).

Since sin(x) = 3/(2√3), we can find the angle x by taking the inverse sine (arcsin) of 3/(2√3).

Calculate the values of x using the inverse sine function. Remember that sine is positive in the first and second quadrants.

Once you find the value of x in radians, convert it to degrees if necessary.
So, the solutions in degrees and radians are:
 ( x = 30^\circ ) (or ( x = \frac{\pi}{6} ) radians)
 ( x = 180^\circ  30^\circ ) (or ( x = \pi  \frac{\pi}{6} ) radians)
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When evaluating a onesided 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 onesided 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 onesided 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 onesided 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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