Arcsin x + arcsin 2x = π/3
arcsin 2x = π/3 - arcsin x
sin[arcsin 2x] = sin[π/3 - arcsin x] (remember the left side is like sin(a-b)
2x = sinπ/3 cos(arcsin x)-cosπ/3 sin(arc sinx)
2x = √3/2 . cos(arcsin x) - (1/2)x)
but cos(arcsin x) = √(1-x²)===>2x = √3/2 .√(1-x²) - (1/2)x)
Reduce to same denominator:
(4x) = √3 .√(1-x²) - (x)===>5x = √3 .√(1-x²)
Square both sides==> 25x²=3(1-x²)
28 x² = 3 & x² = 3/28 & x =√(3/28)
The answer is 5 and 2/5. Hopefully it is correct!
Answer:
120 divided by 20 is 6
Step-by-step explanation:
Its 30.
Answer:
y = 2x + 3
Step-by-step explanation:
The y-intercept is clearly marked: it's b = 3 (or 0, 3).
Going from the point (-3, -3) to the point (0, 3),
x increases by 3 and y increases by 6. Thus, the slope of the line through these two points is m = rise / run = 6 / 3, or m = 2.
Starting with the slope-intercept form of the equation of a straight line:
y = mx + b, we substitute 2 for m and 3 for b, obtaining:
y = 2x + 3
