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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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Algebra find the unknown digit to make each statement true 2.48&gt;2.4 1&gt;2.463
valentina_108 [34]

We have 2.48>2.4 1>2.463. If we insert a '7' between that 4 and 1, we get:

2.48 > 2.471 >2.463, and this is true.

8 0
3 years ago
7x + 3y + 2x<br><br> Please help me
Pachacha [2.7K]

Answer:

Your expression would be 9x + 3y

Step-by-step explanation:

Coefficients with the same variables can be added together

7 0
3 years ago
Read 2 more answers
What is the volume of a rectangular prism that is 8 m long, 7 m wide, and 5 m tall?
OleMash [197]
Answer: 280
to find volume it's Length x Width x Height
8x7x5 = 280
4 0
2 years ago
Cynthia was offered two different jobs for the summer. working as a camp counselor, she will earn $15 per hour plus an additiona
Natali [406]

The value of the composite function (f - g)(x) is 5x - 25

<h3>How to determine the function (f - g)(x)?</h3>

The function definitions are given as:

f(x) = 15x + 25

g(x) = 10x + 50

The function (f - g)(x) is calculated using

(f - g)(x) = f(x) - g(x)

This gives

(f - g)(x) = 15x + 25 - 10x - 50

Evaluate the like terms

(f - g)(x) = 5x - 25

Hence, the value of the composite function (f - g)(x) is 5x - 25

Read more about composite function at

brainly.com/question/28398656

#SPJ1

<u>Complete question</u>

Cynthia was offered two different jobs for the summer. working as a camp counselor, she will earn $15 per hour plus an additional $25 bonus. her earnings after x hours can be represented by the function f(x) = 15x + 25. working as a lifeguard, Cynthia will earn $10 per hour and an additional $50 bonus. her earnings after x hours can be represented by the function g(x) = 10x + 50. the arithmetic operation (f - g)x can be used to determine the difference in the salary Cynthia will earn working as a camp counselor instead of a lifeguard after x hours. what is the function (f - g)x?

7 0
1 year ago
dale has a square garden. He adds a 2-foot-wide walkway around his garden. If the total area of the walkway and garden is 196 sq
dem82 [27]
Let the side of the garden alone (without walkway) be x.  
Then the area of the garden alone is x^2.  
The walkway is made up as follows:

1) four rectangles of width 2 feet and length x, and 
 2) four squares, each of area 2^2 square feet.


The total walkway area is thus x^2 + 4(2^2) + 4(x*2).  

We want to find the dimensions of the garden.  To do this, we need to find the value of x.

Let's sum up the garden dimensions and the walkway dimensions:

x^2 + 4(2^2) + 4(x*2) = 196 sq ft

x^2 + 16 + 8x = 196 sq ft

x^2 + 8x - 180 = 0

(x-10(x+18) = 0

x=10 or x=-18.  We must discard x=-18, since the side length can't be negative.  We are left with x = 10 feet.

The garden dimensions are (10 feet)^2, or 100 square feet.


4 0
3 years ago
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