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)
Answer:
1. Rotate DEF 90 degrees clockwise about point D (8,1).
2. Translate DEF 8 units up.
3. Reflect DEF about the line x = 6.5.
Step-by-step explanation:
Sample answer for PLATO!
Answer:
If you rotate an angle 360 degrees around, your final angle will be facing the same direction
Thus, the coterminal angle is 
Answer:
y stands for 21 in this equation.
Step-by-step explanation:
2y - 7 = 35
2y = 42
y = 21
