If we take the Pythagorean identity identity sin^2 x + cos^2 x = 1 then
<span>(cos^2 x + sin^2 x) / (cot^2 x - csc^2 x)
The numerator becomes 1 since addition order matters not.
1 / </span>(cot^2 x - csc^2 x)
If we factor the denominator out a negative
1 / -(<span>csc^2 x - cot^2 x)
Consider </span><span>sin^2 x + cos^2 x = 1. Divide both sides by sin^2 x to get
1 + cot^2 x = csc^2 x
Subtract both sides by cot^2 x to get 1 = csc^2 x - cot^2 x.
Replace the denominator
1 / -(1) = -1
For cos</span>^2 θ / sin^2 θ + csc θ sin θ, we use cscθ = 1/sinθ and cosθ/sinθ = cotθ so
= cos^2 θ / sin^2 θ + 1
= cot^2 θ + 1
We use 1 + cot^2 <span>θ = csc^2 </span>θ to simplify this to
= csc^2 θ
Answers: -1
csc^2 θ
Answer:
This is a composition of transformations
First you have to rotate 180 and next you have to reflect over x axis.
The given point (-7,3) is on the second quadrant, after 180 rotation it will be on the fourth quadrant, (7,-3) Next you have to reflect that point over the x axis. So the final image of the point is on the first quadrant, (7,3).
Step-by-step explanation:
Answer:
(-5,0)
Step-by-step explanation:
Answer:
3.00
Step-by-step explanation:
Given that :
Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10
Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05
Expected value :E(X) = ΣX* p(x)
E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)
E(X) = 3
Expected value = 3.00
Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :
Substitute in , we get
, which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
