Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
3 sin(2x) = 3 cos(x)
3 answers
Given an angle of 30 degrees, find the minimum initial speed of a cannon ball that travels in a horizontal distance of 15000 mi.
sin 2x = 2 sin x cos x
so
6 sin x cos x = 3 cos x
right off, if cos x = 0, we have solutions. That is when
x = pi/2 and x = 3 pi/2
also when sin x=1/2
that is x = pi/6 and x = 5 pi/6
so
6 sin x cos x = 3 cos x
right off, if cos x = 0, we have solutions. That is when
x = pi/2 and x = 3 pi/2
also when sin x=1/2
that is x = pi/6 and x = 5 pi/6
Kadudu, see where you posted below