Answer:
See below
Step-by-step explanation:
Here I attach you the detailed solution.
For this we will need to use the following trigonometric properties and formulas:
sin (x-y) = sin (x) cos (y) - cos (x) sin (y)
tan(x) = sin(x)/cos(x)
cot(x) = 1/tan(x) = [tan(x)] ^(-1) = cos (x)/sin(x)
This properties can be found in any mathematics book and is valid to apply them here, and are the only tools we use to solve the problem. Its worth to note that we have to assume that cos(x)sin(y) is different from 0 in order to use it as a denominator.
Answer:
x < -3/2
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
x + 2/3 < -5/6
Step 2: Subtract 2/3 from both sides.
x + 2/3 − 2/3 < -5/6 − 2/3
x < -3/2
Answer:
4n^3 -10n^2 +16n -10
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then combine like terms.
= 2n(2n^2 -3n +5) -2(2n^2 -3n +5)
= 4n^3 -6n^2 +10n -4n^2 +6n -10
= 4n^3 +n^2(-6-4) +n(10+6) -10
= 4n^3 -10n^2 +16n -10
To solve this we need to write down ratio and try to simplify it.
10m^2/2m^5 is the ratio
We can divide both numbers by 2m^2
Once we do that we are left with
5/m^3
Looking at the answers we find that correct answer is A
