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
Number one is really easy just set it up in proportions. 420 over x and 7 hours over 24 cause you know there 24 hours in a day and then cross division and simplify. I think.
Answer:
B) If you don't do you homework, then you can't go to the movies
To get the speed of growth of plant we proceed as follows;
rate=(distance)/(time taken)
distance( length) of growth of the plant in 14 days is 3.6 m.
1 day=86400 sec
14 days=86400x14=1,209,600 sec
1 m=1000000 micrometer
3.6 m=3600000 micrometer
thus the rate of growth will be:
3600000/1209600
=2.9762 micrometers per second
