Answer:
N=2a2b
divide by 2a squared to get
b=N/2a2
Given functions are:

and 
Using both functions we need to find value of (f*g)(x)
(f*g)(x) simply means find product of f(x) and g(x) so we will multiply values of each function as shown below:





Hence final answer is
.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identity
• 1 + cot²x = csc²x
Consider the left side
x -
x
Factorise as a difference of squares
= (csc²x - cot²x)(csc²x + cot²x)
= (1 + cot²x - cot²x)(csc²x + cot²x)
= csc²x + cot²x
= csc²x + csc²x - 1
= 2csc²x - 1 = right side ⇒ verified