The endpoints coordinates (b) should be (1,-3)
Besides posting the answers, I also included the solution to solve similar simplification of algebraic expressions questions. :)
The measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
<h3>How to determine the value of sin and cosine?</h3>
The tangent of the angle is given as:
tan(x) = -5/4
The hypotenuse is calculated as:
Hypotenuse = sqrt([(-5)^2 + (4)^2)
Evaluate the squares
Hypotenuse = ±√41
Given that sin(x) < 0, then
Hypotenuse = √41
The sin is calculated as:
sin(x) = -5/Hypotenuse
So, we have:
sin(x) = -5/√41
The cos is calculated as:
cos(x) = 4/Hypotenuse
So, we have:
cos(x) = 4/√41
The values of the reciprocal ratios are
sec(x) = √41/4
csc(x) = -√41/5
cot(x) = -4/5
Hence, the measures of the angles are sin(x) = -5/√41, cos(x) = 4/√41, sec(x) = √41/4, csc(x) = -√41/5 and cot(x) = -4/5
Read more about trigonometry ratio at:
brainly.com/question/24349828
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Answer:
6 * 5 * 4 * 3 * 2 * 1, i.e. 6! or 720. Of course, since both sets have the same number of elements, you can't have one-to-one without being onto, aka a surjection, so “one to one correspondence” is the right term (or bijection—merci, M.
Hope it helps >3!
Answer:
D
Step-by-step explanation:
First, simplify sqrt(18/30) into sqrt(3/5). This equals (sqrt(3))/(sqrt(5)) or (sqrt(15))/5. Now, multiply it by 8 to get
or D.