Cot x = cos x csc x
1/tan x = cosx (1/sin x)
1/(sin x / cos x) = cos x / sin x
cos x / sin x = cos x / sin x
The domain of validity is all real number values of x except for sin x = 0.
Answer: The answer is (D) auto insurance agency.
Step-by-step explanation: We are given four options out of which we are to select the one which a basic loan application would not ask us for.
We know that a basic loan application always needs to know some information like name, date of birth, social security number, address, etc.
What it does not need is auto insurance agency, because they do not need any information about this.
Therefore, the correct option is (d) auto insurance agency.
Step-by-step explanation:

The product of
is negative whereas the product of 
Answer:
y=ln(x/(1-x))
Step-by-step explanation:
y=e^x/(1+e^x)
Cross multiply
y(1+e^x)=e^x
Distribute
y+ye^x=e^x
Put anything with x on with side and everything without x on opposing side:
y=e^x-ye^x
Factor right hand side
y=(1-y)e^x
Divide both sides by (1-y)
y/(1-y)=e^x
Use natural log.
ln(y/(1-y))=x
The inverse is
y=ln(x/(1-x))