Answer:
![cos(x-\frac{3\pi }{2} )= \frac{-3}{4} cos(x)](https://tex.z-dn.net/?f=cos%28x-%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%20%29%3D%20%5Cfrac%7B-3%7D%7B4%7D%20cos%28x%29)
Step-by-step explanation:
Lets remember the following expression:
cos(x-a)= cos(x)*cos(a)+sin(x)*sin(a)
if a= -3 pi /2 then:
cos(x-3 pi/2)= cos(x)*cos(3pi/2) + sin(x)*sin(3pi/2)
Since cos (3pi/2) is located exactly at 'y' axis, its value=0
Moreover sin(3pi/2)= -1 because, that angle is located at 'y' axis, negative side
cos(x-3pi/2)= -sin(x)
But, we can simplify a little more since we now that tan(x)=3/4
That means that sin(x)/cos(x)= 3/4, from that expression we isolate sin(x) and we obtain that sin(x)=cos(x) * 3/4
Using the above conclusion we have that
cos(x-3pi/2)= -cos(x)*3/4
i hope my answers are ✅.......
If someone covers 4 laps in 12 minutes, he would be able to cover 1 lap in 3 minutes if that was the question. The question isn’t really clear.
There are two parts of an equation (including this one), the coefficient, and the variable.
The coefficient is a known number, written as a digit, whereas the variable is an unknown number, written as a letter to signify an unknown number.
So, the coefficient in the first term (or part of the equation) is -2. The coefficient in the second term is 9, and the variable in this equation is x.
Answer:
-3
Step-by-step explanation:
2(x+-3)=1/2x
2x+6=1/2x
6=-1/2x
x=-3