Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
Answer:
3347000 cm is 33.47 km to cm
3347000/64=
401.92 is the circumference
since it is pi * d
do 3347000/401.92
8327.52786624 round to
8327 full revolutions
The roots of the parabola is where the x-intercepts are so the answer is x=-1 and x= 5
Answer:
2.59
Step-by-step explanation:
Divide $54.39 by 21.
Answer:
CSA = 2 * pi * r * h
Step-by-step explanation:
CSA = 2 * 22 * 7 * 12 / 7
= 2 * 22 * 12
528 cm ^3
