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A function f(theta) is defined as : f(th...

A function `f(theta)` is defined as : `f(theta) = 1 - theta+(theta^2)/(2!) - (theta^3)/(3!) +(theta^4)/(4!)….` why is it necessary for `theta` to be a dimensionless quantity ?

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Since,`f(theta)` is a sum of different powers of `theta` and it is a dimensionless quantity.
By principle of homogeneity as RHS is dimensionless, hence LHS should also be dimensionless.
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