<h3>E
xplanation:</h3>
Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).
cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)
(1 -sin^2(θ))cot^2(θ) = . . . . . replace cos^2 with 1-sin^2
cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin
cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired
Answer:
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Step-by-step explanation:
or can be written as 
<h3>Further explanation</h3>
This is a question about the composition of functions and how to get a domain function.
Given 
and 
.
We will form (b o a)(x) and then determine the domain.
<u>Step-1</u>
Replace each appearance of x in b(x) with .
Thus, 
<u>Step-2</u>
To be defined, the value under the radical sign must not be negative. Therefore, the domain of 
are processed as follows.
Both sides added by 3.
Both sides divided by 3.
Thus, the domain of is or can be written as
<h3>Learn more</h3>
- If f(x) = x² – 2x and g(x) = 6x + 4, for which value of x does (f o g)(x) = 0? brainly.com/question/1774827
- Solve for the value of the function composition brainly.com/question/2142762
- Look for rotation rules in the transformation brainly.com/question/2992432
Keywords: composition of function, if a(x) = 3x + 1, and, b(x) = √(x-4), what is the domain of, (b o a)(x), b(a(x)), defined, the value, under the radical sign, must not be negative,
Step-by-step explanation:
The displacement of a particle d (in km) as a function of time t (in hours) is given by :
Displacement at t = 4 hours,
Velocity of particle is given by :
Velocity at t = 4 hours,
Acceleration of the particle is given by :
At t = 4 hours,
Therefore, the displacement, velocity and acceleration at t = 4 hours is 205 km, 136 km/h and 58 km/h² respectively.
