<h2>
Answer:</h2>
The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:
Origin.
<h2>
Step-by-step explanation:</h2>
A function f(x) is said to be a odd function if:
![f(-x)=-f(x)](https://tex.z-dn.net/?f=f%28-x%29%3D-f%28x%29)
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:
![f(-x)=f(x)](https://tex.z-dn.net/?f=f%28-x%29%3Df%28x%29)
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,
![\tan(-x)=-\tan x\\\\\cos (-x)=-\cot x\\\\\csc (-x)=-\csc x](https://tex.z-dn.net/?f=%5Ctan%28-x%29%3D-%5Ctan%20x%5C%5C%5C%5C%5Ccos%20%28-x%29%3D-%5Ccot%20x%5C%5C%5C%5C%5Ccsc%20%28-x%29%3D-%5Ccsc%20x)
( similarly sine function is also an odd function.
whereas cosine and secant function are even functions )
<em>Hence, the graph of tangent function, cotangent function and cosecant function is symmetric about the origin.</em>
Answer:
x ≥ 7
Step-by-step explanation:
|x - 7| = x - 7
A. For each absolute, find the intervals
x - 7 ≥ 0 x - 7 < 0
x ≥ 7 x < 7
If x ≥ 7, |x - 7| = x - 7 > 0.
If x < 7, |x - 7| = x - 7 < 0. No solution.
B. Solve for x < 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
-x + 14 = x
14 = 2x
x = 7
7 ≮7. No solution
C. Solve for x ≥ 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
True for all x.
D. Merge overlapping intervals
No solution or x ≥ 7
⇒ x ≥ 7
The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.
Answer:
whats the number of the class.
what's my height
how many students from each school in this city loves football
what is the height of each student inmy class
how many servings of fruit did I eat each day thus month
Step 4 is wrong. the answer is 1/8, she changed sign on 2^(-3) to 2^(3) without moving it to numerator