Show that 0 SolutionAs in the I quadrant all trignometric ra

Solution

As in the I quadrant all trignometric ratios are positive, sin x is positive in the given integrals.

So sin ^n and sin ^n+1 also

Since 0<sinx<1

for all n in N,

0<sinⁿ⁺¹x<sinⁿx

Take integrals from 0 to pi/2

We get the result proved