Answer:
<h3>The answer is option D.</h3>
Step-by-step explanation:
First we must first find the LCM
The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is
x² + 3x + 2
So we have

Hope this helps you
First lets see the pythagorean identities

So if we have to solve for sin theta , first we move cos theta to left side and then take square root to both sides, that is

Now we need to check the sign of sin theta
First we have to remember the sign of sin, cos , tan in the quadrants. In first quadrant , all are positive. In second quadrant, only sin and cosine are positive. In third quadrant , only tan and cot are positive and in the last quadrant , only cos and sec are positive.
So if theta is in second quadrant, then we have to positive sign but if theta is in third or fourth quadrant, then we have to use negative sign .
In inverese, when x increases, y deceases, when x decreases, y increses
we see that x increases for all choices
therefor the y values of the answer should be decreasing
first one is increasing, wrong
second is decreasing
third is also decreasing
fourth is increasing
look at second and third
remember
xy=k for inverse
so just solve for k for each and see if it is valid
second
1,60
(1)(60)=k
60=k
2,30
(2)(30)=60
60=60
true
therefor this is nswer
2nd option is answer