Let `x=sin1^0,` then the value of the expression. `1/(cos0^0dotcos1^0)+1/(cos1^0dotcos2^0)+1/(cos2^0dotcos3^0)+1/(cos44^0dotcos45^0)` is equal to (a) `x` (b) `1/x` (c) `(sqrt(2))/x` (d) `x/(sqrt(2))`

Explanation

To solve the given expression

\[ E = \frac{1}{\cos 0^\circ \cdot \cos 1^\circ} + \frac{1}{\cos 1^\circ \cdot \cos 2^\circ} + \frac{1}{\cos 2^\circ \cdot \cos 3^\circ} + \ldots + \frac{1}{\cos 44^\circ \cdot \cos 45^\circ}, \]

we start by rewriting each term in a more manageable form.

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