Sin^2 x - 2 sin x = 0

find all solutions to the equation in the interval

Let . The equation becomes

So, the solutions are

Substitute back , we have

Since the sine function is bounded between -1 and 1, it can never equal 2. So, the only possible solution is

Depending on the interval you're interested in (you didn't write it!) select the solution(s) that applies(apply)

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm