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Nesterboy [21]
3 years ago
14

What is the domain of validity for csc theta =

Mathematics
1 answer:
My name is Ann [436]3 years ago
4 0
For the three basic trig identities (sin, cos, tan) there are three more which act as their reciprocals (csc, sec, and cot respectively)

A reciprocal of x can be represented as 1/x.
Therefore, cscӨ can also be represented as the reciprocal of sinӨ...1/sinӨ.

In that case, our answer should always be true so long as we put in a real number for theta, because that's the domain of sinӨ, right? However, we also have to satisfy the domain of cscӨ, and the limitations become extremely obvious when you look at this reciprocal identity equation...sinӨ cannot be zero because it is impposible to divide by zero! Looking at the unit circle, any multiple of π will make sin<span>Ө = 0, so there's your answer.
D. All real numbers except multiples of pi</span><span>
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I really need help with 22 plz
gogolik [260]
If there are 272.5 rotations in a mile, and 5280 ft in a mile, then there are 5280 ft in 272.5 rotations. Divide 5280 by 272.5 gives us 19.4 ft/rotation.
That's the circumference of the wheel, and since c = πd, 19.4/π = d, d = 6.2 ft. The diameter of the wheel is how tall it is.

Does this help? Any questions?
8 0
4 years ago
Which system of equations is best represented by the graph?
tekilochka [14]

Answer:

it's the first one

Step-by-step explanation:

since all of them go up to 8 on the graph it

the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.

6 0
3 years ago
Bianca had a weekly allowance of $8.50 two years ago. Last year, her weekly allowance was $9.75. This year, Bianca's weekly allo
Natasha_Volkova [10]

Answer:

No

Step-by-step explanation:

In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of

9.75 - 8.50 = 1.25 dollar change

1.25 / 8.50 = 0.147 or a 14.7% increase

Between the second and third year, there was a change of

12 - 9.75 = 2.25 dollar change

2.25 / 9.75 = 0.23 or 23% increase

Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.

3 0
3 years ago
Find the equation of the line through the point (-2,-2) that is perpendicular to the line y=2x-1
Lerok [7]

A line perpendicular to y = 2x - 1 must have the slope -1/2 (negative reciprocal of 2).


Thus, the eq'n of the new line is y+2 = (-1/2)(x+2).

5 0
3 years ago
Can somebody explain to me how to do this and the answers and how you got it
yaroslaw [1]
7. Easiest method is substitution.  Since y=x/2, then:
2x+3(x/2)=28
8.Substituting again, we get:
3x-6x=6
-3x=6
x=-2
(-2,6)
☺☺☺☺
6 0
3 years ago
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