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:
n² + 5 = 41 n = 6
Step-by-step explanation:
n² + 5 = 41
n² + 5 - 5 = 41 - 5
n² = 36
What squared equals 36? 6!
6² = 6 * 6 = 36
Check your answer!
6² + 5 = 41
36 + 5 = 41
41 = 41
Have a good night! :)
If your asking for the total, 2 1/4 has to change so there’s common denominator, so 2 1/4 x 2 = 2 2/8. Then add 2 2/8 + 2 1/8= 4 3/8
Answer: (6,0)
Step-by-step explanation:
Answer:
$1.85
Step-by-step explanation:
2.15
-1.30
--------
1.85