Answer:1. 12:6 equivalant ratio:24:12
Step-by-step explanation:
12:6 means twelve to 6 and to find a equivalant ratio means to find a number that 12 and 6 can equal so it would be 24:12 which i multiplied by 2.
Answer:
A
Step-by-step explanation:
The distance between 0 and 4/6 is 4/6. This distance is repeted two times
so we have 4/6 + 4/6 or 2 x 4/6
Answer:
We are given that:
![\cos 2x=\tan ^2y---------(1)](https://tex.z-dn.net/?f=%5Ccos%202x%3D%5Ctan%20%5E2y---------%281%29)
Now we are asked to show that:
![\cos 2y=\tan ^2x](https://tex.z-dn.net/?f=%5Ccos%202y%3D%5Ctan%20%5E2x)
We know that:
![\cos 2y=\dfrac{1-\tan ^2y}{1+\tan ^2y}](https://tex.z-dn.net/?f=%5Ccos%202y%3D%5Cdfrac%7B1-%5Ctan%20%5E2y%7D%7B1%2B%5Ctan%20%5E2y%7D)
Hence using equation (1) we get:
![\cos 2y=\dfrac{1-\cos 2x}{1+\cos 2x}--------(2)](https://tex.z-dn.net/?f=%5Ccos%202y%3D%5Cdfrac%7B1-%5Ccos%202x%7D%7B1%2B%5Ccos%202x%7D--------%282%29)
Also we know that:
![\cos 2x=1-2 \sin ^2x](https://tex.z-dn.net/?f=%5Ccos%202x%3D1-2%20%5Csin%20%5E2x)
and ![\cos 2x=2 \cos ^2x-1](https://tex.z-dn.net/?f=%5Ccos%202x%3D2%20%5Ccos%20%5E2x-1)
so using above two formula in equation (2) we get:
![\cos 2y=\dfrac{1-(1-2\sin ^2x)}{1+2\cos ^2x-1}\\\\\cos 2y=\dfrac{1-1+2\sin ^2x}{2\cos ^2x}\\\\\cos 2y=\dfrac{2\sin ^2x}{2\cos ^2x}\\\\\cos 2y=\tan ^2x](https://tex.z-dn.net/?f=%5Ccos%202y%3D%5Cdfrac%7B1-%281-2%5Csin%20%5E2x%29%7D%7B1%2B2%5Ccos%20%5E2x-1%7D%5C%5C%5C%5C%5Ccos%202y%3D%5Cdfrac%7B1-1%2B2%5Csin%20%5E2x%7D%7B2%5Ccos%20%5E2x%7D%5C%5C%5C%5C%5Ccos%202y%3D%5Cdfrac%7B2%5Csin%20%5E2x%7D%7B2%5Ccos%20%5E2x%7D%5C%5C%5C%5C%5Ccos%202y%3D%5Ctan%20%5E2x)
( since we know that:
)
Hence we have proved that:
![\cos 2y=\tan ^2x](https://tex.z-dn.net/?f=%5Ccos%202y%3D%5Ctan%20%5E2x)
Answer:
im pretty sure that it is B?
Step-by-step explanation: