1.

The minimum value of`sqrt((3sin x-4cosx-10)(3sinx+4cosx-10))`is ________

Answer» `f(x)=(3sinx-4cosx-10)(3sinx+4cosx-10)`
`f(x)=[(3sinx-10)-4cosx][(3sinx-10)+4cosx]`
`f(x)=(3sinx-10)^2-16cos^2x`
`f(x)=9sin^2x+100-60sinx-16(1-sin^2x)`
`f(x)=25sin^2x+84-60sinx`
`f(x)=(5sinx-6)^2+48`
at sinx=1
`f(x)=(5-6)^2+48=49`
Minimum value of`sqrtf(x)=sqrt49=7`.


Discussion

No Comment Found

Related InterviewSolutions