Answer:
Yes.. you are correct!
Step-by-step explanation:
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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.
y- intercept = (0, 4), x-intercept = (- 2, 0)
to find the intercepts let x = 0 and y = 0 in the equation
x = 0 → y = 0 + 4 =4 ⇒ y-intercept (0, 4)
y = 0 → 2x + 4 = 0 ⇒ x = - 2 ⇒ x- intercept(- 2, 0)
Answer: To simplify this problem you combine the like terms in the equation (numbers with the same variables.)
Demo: 12r + -4r = 8r
-2x + 6x - 6 + 4
4x -2 Is The Simplified Expression