Question

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Answer 1

Note:inverse terms of trigonometry,denotes the angle,which is dimensioless quantity

consider RHS First

dx, represent distance,,,so it will denoted by[L]

similarly,

(a^2-x^2)^1/2,will be also,,denoted by[L]. {in a^2-x^2 ,both a and x represent the length,so this will also,denoted by [L]

now

[L]/[L]=L^0,,

this ,shows RHS is dimensioless....

consider RHS,now

from the first statement,we can say, sin^-1x/a, represent the angle

and angle is dimensioless quantity,,

so only,,,1/a is there,which have dimension as [^-1]

from both RHS and LHS,,

we can say,that,they are not dimensionally correct