Answer:
Linear function
Step-by-step explanation:
Given
Required
Linear or Exponential
A linear equation has the form: ;
An exponential has the form:
By comparing both functions to:
The linear function is similar to
<em>Hence, the given function is a linear function.</em>
Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5
That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n
The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.
Note: The variable n can be any integer.
Answer:
Sum of the Roots = 37
Product of the Roots = 27
Step-by-step explanation:
Here, the given expression is
Now the general Quadratic Equation is of the form:
Here, Sum of the Roots =
and the Product of the Roots =
So, comparing the general equation with the given equation, we get:
a = 1, b = -37 and c = 27
So, Sum of the Roots = = 37
and the Product of the Roots = = 27