Jerneii writes the set of ordered pairs below. The set represents a function.
1 answer:
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Answer:
See Below.
Step-by-step explanation:
Problem A)
We have:
When in doubt, convert all reciprocal trig functions and tangent into terms of sine and cosine.
So, let cscθ = 1/sinθ and tanθ = sinθ/cosθ. Hence:
Cancel:
Let 1/cosθ = secθ:
From the Pythagorean Identity, we know that tan²θ + 1 = sec²θ. Hence, sec²θ - 1 = tan²θ:
Problem B)
We have:
Factor out a sine:
From the Pythagorean Identity, sin²θ + cos²θ = 1. Hence, sin²θ = 1 - cos²θ:
Distribute:
Problem C)
We have:
Recall that cos2θ = cos²θ - sin²θ and that sin2θ = 2sinθcosθ. Hence:
From the Pythagorean Identity, sin²θ + cos²θ = 1 so cos²θ = 1 - sin²θ:
Cancel:
By definition:
Answer:
The outlier is:
Point A.
Step-by-step explanation:
We know that an outlier is a point that stands out as compared to the rest of the data points.
Clearly from the scatter plot based on the given points in the question we get tat Point A is an outlier because it attains a different value as compared to the rest of the data points.
Hence, the outlier is:
Point A.
