The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:
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Answer:
The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:
Origin.
Step-by-step explanation:
A function f(x) is said to be a odd function if:
Also, an odd function always has a symmetry with respect to the origin.
whereas a function f(x) is said to be a even function if:
Also, an even function has a symmetry with respect to the y-axis.
We know that:
Tangent function, cotangent function and cosecant function are odd functions.
Since,
( similarly sine function is also an odd function.
whereas cosine and secant function are even functions )
Hence, the graph of tangent function, cotangent function and cosecant function is symmetric about the origin.
Final answer:
The tangent, cotangent, and cosecant functions are odd and exhibit symmetry with respect to the origin. This is because an odd function satisfies the condition y(x) = -y(-x), meaning for every point (x, y) on the graph, the point (-x, -y) is also on the graph.
Explanation:
The tangent, cotangent, and cosecant functions are indeed odd functions, meaning they exhibit symmetry with respect to the origin. An odd function satisfies the condition y(x) = -y(-x), and when graphed, this produces a symmetry with respect to the origin of the coordinate plane. Essentially, this means that if a point (x, y) is on the graph of an odd function, the point (-x, -y) is also on the graph.
For an example, let's consider the tangent function, which is an odd function: For any angle A, the tangent of -A is the opposite of the tangent of A, or tan(-A) = -tan(A). Graphically, this implies that if we reflect the graph of the tangent function over the x-axis, and then over the y-axis, we will get the original function back, thus verifying the symmetry in odd functions.
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-12+(-66)+48 and how
Thanks in advance
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Answer:
-30
Step-by-step explanation:
so we will write the -12 as it is then multiply the positive sign by the negative sign of the num 66 (bc there are paranthesis around the number) it will be - sign (example 2+(-6) is equal to -4 and because the negative sign over powers the positive sign) then we will write the +48 as it is so it will be -12-66+48 = -30 (answer is negative bc its the sign of the biggest number)
really hope this helped and good luck!
16 cm
4 cm
8 cm
Answers
answer: 8
Explanation:
Use the formula for the area of a circle:
A = π r 2
Here, the area is 16 π
16 π = π r 2
Divide both sides by
16 = r 2
Take the square root of both sides:
√ 16 = √ r 2
4 = r
Since the radius of the circle is
4
, the diameter is twice that:
d = 4 × 2 = 8
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2) try to solve for y. so multiply the denominator by x to get rid of it
3) after multiplying, ur left with xy+x=3 x y + x=3
4) that converts to 2xy= x y =3
5) get rid of 2x on left by placing it on the right
6) convert y to inverse function
B. 4
C. -3 is equal to x <-1
D. -1 is equal to x <1
E. 0
F. 1 is equal to x<3
G. -2 is equal to x<5
H. -3 is equal to x<3
I. 3
Answers
The piece-wise function is defined by:
A piece-wise function is a function that has different definitions, based on the input.
In this graph:
- When x is between -3(inclusive, closed circle) and -1(exclusive, open circle), the value is 1, thus, the first definition is:
- When x is between -1(inclusive) and 1(exclusive), the value is 2, thus, the second definition is:
- When x is between 1(inclusive) and 3(exclusive), the value is 3, thus, the third definition is:
A similar problem is given at brainly.com/question/13205719
Final answer:
A piecewise function is defined by multiple sub-functions, each applying to a certain interval of the main function's domain. An example might be ' -3 is equal to x <-1', representing a portion of the function where any x-value less than -1 outputs -3.
Explanation:
Without the piecewise function graph, it's difficult to identify the correct algebraic definition. However, a piecewise function is a function which is defined by multiple sub functions. Each sub function applies to a certain interval of the main function's domain, which is why we see conditions like 'x < -1' following the function.
For instance, if we look at option C ' -3 is equal to x <-1', it suggests there is a piece of the function where any x-value less than -1 will output -3. It is important to note that these piecewise functions are visualized on a graph, often appearing as lines or curves that start or stop at certain points.
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Answers
Answer:
Step-by-step explanation:
1044 is an even number so it is divisible by 2.
1+0+4+4= 9 , 9 is divisible by 3 so 1044 is divisible by 3.
1044 is not having 0 or 5 in unit digit so it is not divisible by 10 and 5.
1044 is divisible by 2 and 3 so it will be divisible by 6.