Answer: yes they are equivalent
Step-by-step explanation:
No matter how the number is placed in the equation if it is the same numbers they are equivalent
The standard form of equation for the sin function is y = Asin(Bx-C) where A is amplitude, Period is 2π/B, and the phase shift is equal to Bx-C set to zero. C is then obtained in this equation.
For given problem: A is equal to 2, period=2π/B=2π/1=2π, where B is equal to 1. Period then is equal to A. 2pi
Answer:
Step-by-step explanation:
Essentially, begin by flipping the x and y terms:
x = (1 - 2y)^2 + 5
Then, solve for y:
![\ x = (1-2y)^2 + 5\\\sqrt{x-5} = 1 - 2y\\\sqrt{x-5} - 1 = 2y\\\frac{\sqrt{x-5} - 1}{2} = y^-1\\](https://tex.z-dn.net/?f=%5C%20x%20%3D%20%281-2y%29%5E2%20%2B%205%5C%5C%5Csqrt%7Bx-5%7D%20%3D%201%20-%202y%5C%5C%5Csqrt%7Bx-5%7D%20-%201%20%3D%202y%5C%5C%5Cfrac%7B%5Csqrt%7Bx-5%7D%20-%201%7D%7B2%7D%20%3D%20y%5E-1%5C%5C)
Because we know there is only 1 y-value for any given x-value, the inverse of the given function is also a function.
It states that if you place two angles side by side, then the measure of the resulting angle will be equal to the sum of the two original angle measures.