​$$\cosec2910^\circ + \sec 4260^\circ + \tan 2565^\circ + \cot 1755^\circ = ?$$​​

​$$\cosec 2910^\circ + \sec 4260^\circ + \tan 2565^\circ + \cot 1755^\circ$$​​

Periodic Properties of Trigonometric Functions:

The period of $$\cosec \theta, \sec \theta, \tan \theta,$$​ and $$\cot \theta$$​ is 360°.

Using the property $$f(\theta + 360^\circ) = f(\theta)$$​​

for trigonometric functions, we will reduce the angles to their equivalent values within $$[0^\circ, 360^\circ]$$​​

Thus, correct option is (a).

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