The domain and range of the function is D) Domain: (-∞, ∞); Range: (-∞, ∞)
<h3>How to illustrate the information?</h3>
The domain is the input values, or the x values. We can put in any x values for this function.
Domain : (-∞, ∞)
The range is the output values or the y values. We can get any output values for this function
Range: (-∞, ∞)
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<u>Complete question:</u>
What are the domain and range of the function below?
A) Domain: (-∞, -5)
Range: (5, ∞)
B) Domain: (-5, -10)
Range: (5, 10)
C). Domain: (-5, 10)
Range: (-10, 5)
D) Domain: (-∞, ∞)
Range: (-∞, ∞)
Answer: cos(x)
Step-by-step explanation:
We have
sin ( x + y ) = sin(x)*cos(y) + cos(x)*sin(y) (1) and
cos ( x + y ) = cos(x)*cos(y) - sin(x)*sin(y) (2)
From eq. (1)
if x = y
sin ( x + x ) = sin(x)*cos(x) + cos(x)*sin(x) ⇒ sin(2x) = 2sin(x)cos(x)
From eq. 2
If x = y
cos ( x + x ) = cos(x)*cos(x) - sin(x)*sin(x) ⇒ cos²(x) - sin²(x)
cos (2x) = cos²(x) - sin²(x)
Hence:The expression:
cos(2x) cos(x) + sin(2x) sin(x) (3)
Subtition of sin(2x) and cos(2x) in eq. 3
[cos²(x)-sin²(x)]*cos(x) + [(2sen(x)cos(x)]*sin(x)
and operating
cos³(x) - sin²(x)cos(x) + 2sin²(x)cos(x) = cos³(x) + sin²(x)cos(x)
cos (x) [ cos²(x) + sin²(x) ] = cos(x)
since cos²(x) + sin²(x) = 1
Answer:
3.9 km
Step-by-step explanation:
Arc length is (pi*r)/4=(pi*5)/4=3.9 km. Love from Gauthmath.
I think you forgot to give the diagram along with the question. I am answering the question based on my research and knowledge. "x = 7, y = 9" is the one among the following choices given in the question that gives the value of "x" and "y". The correct option among all the options that are given in the question is the third option or option "C".