we can factor the whole thing:
(2sin(x) -1)(sin(x)+1) = 0.
Therefore, sin(x) = -1 and sin(x) = 1/2.
For the first one x = 3π/2 and the second is π/6 and 5π/6
So 3π/2, π/6 and 5π/6 are the solutions.
I do kind of have a problem with this because it doesn't mention if you should go over 360°. Otherwise, you have to add in an 2nπ into the equations like 3π/2 + 2nπ;
but I don't know if that is necessary for you.
Answer:
The man covers 200 ft in 40 seconds.
Step-by-step explanation:
A person is moving on the sidewalk from one end to the other end.
He walks 40 feet in 8 seconds.
Therefore his speed =
=
= 5 ft/
He covers the sidewalk distance at a rate of 5 feet every second.
To calculate the time taken to cover 200 ft,
time =
time =
<u>time = 40 seconds</u>
Hence the man covers 200 ft in 40 seconds.
Answer:
72,220 inches per minute
Step-by-step explanation:
A car's wheels spins at 1000 revolutions per minute. The diameter of the wheels is 23 inches.
1 revolution = radians
Speed
r is the radius , theta is the angle and t is the time
We know diameter = 23 , then radius = 23/2
Speed
Value of pi = 3.14
speed = 23000* 3.14= 72220 inches/ minute