Answer:
, hence the identity is verified.
Step-by-step explanation:
Working on right hand side.
Substituting ![[cot(x)=\frac{cos(x)}{sin(x)}]](https://tex.z-dn.net/?f=%5Bcot%28x%29%3D%5Cfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%5D)
and ![[cot(y)=\frac{cos(y)}{sin(y)}]](https://tex.z-dn.net/?f=%5Bcot%28y%29%3D%5Cfrac%7Bcos%28y%29%7D%7Bsin%28y%29%7D%5D)
Taking LCD and adding fractions.
Cancelling out the common denominators.
Applying sum and difference formulas ![[cos(x-y)=cos(x)cos(y)-sin(x)sin(y)][sin(x+y)=sin(x)cos(y)+sin(y)cos(x)]](https://tex.z-dn.net/?f=%5Bcos%28x-y%29%3Dcos%28x%29cos%28y%29-sin%28x%29sin%28y%29%5D%5Bsin%28x%2By%29%3Dsin%28x%29cos%28y%29%2Bsin%28y%29cos%28x%29%5D)
Left side
∵ , hence the identity is verified.
36 ...........................
that how its done in written way
Answer:
108 pounds
Step-by-step explanation:
First you find out how much can stretch a spring 1 inch.
72/2 = 36
36 pounds can stretch a inch spring, so know you need to find out how many pounds can stretch a 3 inch spring.
36*3 = 108
So 108 pounds can stretch a 3 inch spring.
