That is, for a function, f(x), and its inverse, denoted f-1 (x), it is always that case the f(f-1 (x)) = f-1 (f(x)) = x. When given a function, f(x), if it has an inverse, then we can find it using a specific set of steps....
What is the domain of the function cosx1−sinx?Question:What is the domain of the function cosx1−sinx? The domain of a Rational Function:Let's say we have a rational function f(x)=p(x)q(x). The denominator of such a function must always be non-negative. Thus...
What is cos of arccos(x) Arccosine of cosine of x. Since arccosine is the inverse function of cosine, the cosine of arccosine of x is equal to x: cos( arccos x ) = x x has values from -1 to 1: x∈[-1,1] Arccos function ► See also Arccos of cos Arccos of sin Sin of...
secx is the inverse of cosx. secx=1/cosx. A secant is also a line drawn through the graph that touches two points on a function. What are the solutions of 2 cos squared x minus cos x equals 1? 2cos2x - cosx -1 = 0 Factor: (2cosx + 1)(cosx - 1) = 0 cosx = {-.5, 1...
Step 3: Simplify the expression Using the property of the inverse cosine function, we have: y=α−x Step 4: Differentiate with respect tox Now, we differentiateywith respect tox: dydx=d(α−x)dx=dαdx−dxdx Sinceαis a constant (it does not depend onx), its derivative is 0: ...
Using the diagram given above, we get:We can see that the value of y depends on the value of x. We can conclude that, in calculus,INPUT (x) is independent of the OUTPUT (y) OUTPUT depends on the INPUT f(x) is responsible for the transformation of the INPUT to the OUTPUT and is...
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Question: What is the square root of pi squared? Answer and Explanation: ±π. The square root (√) of a numberais numberbso thatb2=a; in other words, a numberbwhose square (the result of multiplying... Learn more about this topic: ...
An identity matrix is symmetric as IT = I. Every identity matrix is a scalar matrix as all its principal diagonal's elements are equal and the rest of the elements are zeros. The determinant of every identity matrix is 1. The inverse of identity matrix is itself as I · I-1 = I-1...
In Galilean spacetime trigonometry, using Yaglom's Galilean trig functions (cosgη=1; singη=η, and tangη=singηcosgη=η, relative velocity is vrel/c=tang(θB−θA)=1cvB−vA1−0vBvA=1c(vB−vA) (which is invariant of choice of inertial frame), where c is any convenient ...