An insect crawls up a hemispherical surf...

An insect crawls up a hemispherical surface very slowly (see the figure). The coefficient of friction between the insect and the surface is 1/3. If the line joining the centre of the hemispherical surface to the insect makes an angle `alpha` with the vertical, the maximum possible value of `alpha` is given by

`cot alpha=3`

`tan alpha=3`

`sec aplha=3`

`cosec alpha =3`

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