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The option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7], and the range is R: [–5, 1]
<h3>What is an ellipse?</h3>An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.
We have an ellipse equation:
We can write the above equation as:
The domain will be:
D: [–5, 7]
The range will be:
R: [–5, 1]
Thus, the option second D: [–5, 7]; R: [–5, 1] is correct the domain is D: [–5, 7] and the range is R: [–5, 1]
Learn more about the ellipse here:
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We start with the more complicated side which is the left side, and show that, on using some trigonometric identities, we will get the term on the right side .
Using Quotient identity for tangent function, we will get
Taking out sine function from the numerator
Cancelling the common term of numerator and denominator