C. 2+3 = 5
1/12+1/12=2/12
So C would make sense because those all add up to the answer :-)
Answer:
its C just did it
Step-by-step explanation:
Multiply the first fraction by two and the second by twenty five on both top and bottom.
16/50 + 25/50 = 41/50
Answer:
The required verification is given below.
Step-by-step explanation:
To verify: ![\frac{\cos (x-y)}{\sin (x+y)}=\frac{1 + \cot x\cot y}{\cot x + \cot y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ccos%20%28x-y%29%7D%7B%5Csin%20%28x%2By%29%7D%3D%5Cfrac%7B1%20%2B%20%5Ccot%20x%5Ccot%20y%7D%7B%5Ccot%20x%20%2B%20%5Ccot%20y%7D)
Consider,
Left hand side = ![\frac{\cos (x-y)}{\sin (x+y)}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ccos%20%28x-y%29%7D%7B%5Csin%20%28x%2By%29%7D)
Now by using Trigonometric identities,
![cos (A-B) = sin A.sin B + cos A.cos B \\sin (A+B) = sin A.cos B + cos A.sin B](https://tex.z-dn.net/?f=cos%20%28A-B%29%20%3D%20sin%20A.sin%20B%20%2B%20cos%20A.cos%20B%20%5C%5Csin%20%28A%2BB%29%20%3D%20sin%20A.cos%20B%20%2B%20cos%20A.sin%20B%20)
Now we get,
Left hand side = ![\frac{\sin x\sin y + \cos x\cos y}{\sin x\cos y+\cos x\sin y}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20x%5Csin%20y%20%2B%20%5Ccos%20x%5Ccos%20y%7D%7B%5Csin%20x%5Ccos%20y%2B%5Ccos%20x%5Csin%20y%7D)
Now dividing Numerator and Denominator by
we get
Left hand side = ![\frac{1 +\frac{\cos x\cos y}{\sin x\sin y} }{\frac{\sin x\cos y+\cos x\sin y}{\sin x\sin y } }](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B%5Cfrac%7B%5Ccos%20x%5Ccos%20y%7D%7B%5Csin%20x%5Csin%20y%7D%20%7D%7B%5Cfrac%7B%5Csin%20x%5Ccos%20y%2B%5Ccos%20x%5Csin%20y%7D%7B%5Csin%20x%5Csin%20y%20%7D%20%7D)
Now we have identity
![cot x = \frac{\cos x}{\sin x}](https://tex.z-dn.net/?f=cot%20x%20%3D%20%5Cfrac%7B%5Ccos%20x%7D%7B%5Csin%20x%7D)
and
then
Left hand side = ![\frac{1 +\cot x\cot y}{\cot x + \cot y}](https://tex.z-dn.net/?f=%5Cfrac%7B1%20%2B%5Ccot%20x%5Ccot%20y%7D%7B%5Ccot%20x%20%2B%20%5Ccot%20y%7D)
Which is equal to our Right hand side required identity
This is the way we have
Left hand side = Right hand side Proved.
Answer:
0.6
Step-by-step explanation:
first you well have a 3 and then dived it by 5 and after you dived them to you well get the answer 0.6