Sin^3A. cos A + Cos^ 3 A = Cos A

One root is 90 degrees or  π/2 radians.

Drawing a graph we get all the roots:

nπ and π(n - 1/2)

Step-by-step explanation:

Sin^3A.cos A + Cos^ 3 A = Cos A

Divide through by cos A

sin^3A + cos^2A = 1

sin^3 A = 1 - cos^2 A

sin^3 A = sin^2 A

sin A = 1

So one  root is A = 90 degrees or π/2 radians.

Checking this result:

(sin 90^3 * cos 90 + (cos 90)^3 = 1 * 0 + 0 = 0

cos 90 = 0

So this is correct..

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.