Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
Answer:
So 3x = x +8 is your equation
We adjust the equation to isolate the x and we end up with 2x = 8
We have to isolate the x even more to turn it into x = 4.
So our final answer is x = 4
Answer: -4x(4x - 15)
Step-by-step explanation:
f(x) =
+ 60x
y =
+ 60x
=> - (
- 60x)
=> -4x(4x - 15)
55- 2v. Or also 55- (2xV)