Mathematics

Mathematics

Problem

Evaluate the expression P=sin⁡1035∘ cos⁡(−825∘)+tan⁡(41π3).P=\sin 1035^{\circ}\,\cos(-825^{\circ})+\tan\left(\frac{41\pi}{3}\right). Provide a complete solution that includes: (i) Reduction of each angle to an equivalent angle in the principal interval, (ii) Exact values of each trigonometric term, (iii) The final simplified result for PP.

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