Answer: x = 41.4°
Step-by-step explanation:
We want to solve:
Cos(x) = 3/4
Such that this is on quadrant 1.
(if x is in degrees, the possible values of x will be: 0° ≤ x ≤ 90°)
To solve this we need to remember the inverse functions.
If we have two functions f(x) and g(x), these functions are inverses if:
f( g(x) ) = x
g( f(x) ) = x
Then the inverse of the cosine function (this function is "arcos(x)") is such that:
Arcos( cos(x) ) = x
Then in our equation:
Cos(x) = 3/4
We can apply the inverse function to both sides to get:
Arcos(Cos(x)) = Arcos(3/4)
x = Arcos(3/4)
(To find the Arcos function in your calculator, you need to use the button "inv" and then the "cos" button, and remember to have your calculator in deg mode)
x = Arcos(3/4) = 41.4°
Answer:
y=4x−14
Step-by-step explanation:
solve for y.
y+2=4(x−3)
distribute 4
y+2=4x-12
subtract 2 from both sides
y+2+−2=4x−12+−2
y=4x−14
Answer:
y=4x−14
71
Step-by-step explanation:
subtract all from 360 degrees
The square root of 29 is 5.3851
Compare the first number. In this case, both are five, so move on to the next number.
7 is greater than 3, so the answer would be 5.7145 > The square root of 29.
Assuming the function is x^2
let y = x^2
interchange x and y
x = y^2
y = sqrt x
so,
sqrt x is the inverse of x^2.