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:
15$
Step-by-step explanation:
Okey so first we establish that 25 is 100%
Matthew gets 60%
First we find 10% by dividing both sides by 10
2.5 = 10%
Then we times these numbers by 6 to find 60%
<u>60% = 15</u>
Matthew will earn <u>15$</u>
Luke will earn 10$
Answer:
c
Step-by-step explanation:
Recognize the differnce of 2 perfect squares
a²-b²=(a-b)(a+b)
so
