Solve 3cotx - √3 = 0 for 0 ≤ x < 2π.

Solution given:

3cotx - √3 = 0

3cotx=√3

cotx=√3/3

cotx=1/√3

1/tanx=1/√3

tanx =√3

tanx=tan60°,tan240°,

:.x=60°,120° or π/60,3π/4

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

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.