The scale On a map is 2 cm equals 15 miles is measures the distance to the next town at seven cm how many miles away is the next
1 answer:
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The given point (-3/5 , y) lies in the third quadrant.
It is also given that the point lies on a unit circle.
For a point (x,y) lying on a unit circle a and y are defined as:
x = cos θ
y = sin θ
So, we can say for the point (-3/5 , y) the value -3/5 is equal to cos θ
sec θ is the reciprocal of cos θ.
So, sec θ = -5/3
Using Pythagorean identity we can first find sin θ.
Since the point lies in 3rd quadrant, both sin and cos will be negative.
So, now we can write:
Answers:
sec θ = -5/3
cot θ = 3/4
It is also given that the point lies on a unit circle.
For a point (x,y) lying on a unit circle a and y are defined as:
x = cos θ
y = sin θ
So, we can say for the point (-3/5 , y) the value -3/5 is equal to cos θ
sec θ is the reciprocal of cos θ.
So, sec θ = -5/3
Using Pythagorean identity we can first find sin θ.
Since the point lies in 3rd quadrant, both sin and cos will be negative.
So, now we can write:
Answers:
sec θ = -5/3
cot θ = 3/4
Answer:
The true statements:
The only value that is in the domains of both functions is 0.
The range of g(x) is all values less than or equal to 0.
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Step-by-step explanation:
See the attached figure:
As shown: f(x) = √x with blue color
When f(x) is reflected across the x-axis the result will be (-√x) with red color.
Then the is reflected result across the y-axis to create the graph of function g(x) = -√(-x) with green color.
<u>Domain </u>of f(x) = [0,∞) & <u>Range</u> of f(x) = [0,∞)
<u>Domain </u>of g(x) = (-∞,0] & <u>Range </u>of g(x) = (-∞,0]
So, according to previous, we will check the statements:
1) The functions have the same range. <u>(Wrong)</u>
2) The functions have the same domains. <u>(Wrong)</u>
3) The only value that is in the domains of both functions is 0. <u>(True)</u>
4) There are no values that are in the ranges of both functions. <u>(Wrong)</u>
5) The domain of g(x) is all values greater than or equal to 0. <u>(Wrong)</u>
6) The range of g(x) is all values less than or equal to 0. <u>(True)</u>
