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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:
The answer is below.
Step-by-step explanation:
The options are not clear. I would solve a similar question.
A linear function is a function in the form:
y = mx + b; where y and x are variables, m is the slope and b is the y intercept.
From the options:
a) x(y - 5) = 2
xy - 5x = 2. Since the equation is not in the form of y = mx + b, hence it is not a linear function. It is a nonlinear function.
b) y - 2(x + 9) = 0
y - 2x - 18 = 0
y = 2x + 18. The equation is in the form of y = mx + b, hence it is a linear function.
c) 3y + 6(2 - x) = 5
3y + 12 - 6x = 5
3y = 6x - 7. The equation is in the form of y = mx + b, hence it is a linear function.
d) 2(y + x) = 0
2y + 2x = 0
2y = -2x. The equation is in the form of y = mx + b, hence it is a linear function.
Answer:
B.
Step-by-step explanation:
Simplify the given expression to determine its equivalent expression in the given options.
(x - 1) cancels (x - 1)
