Let . (a) Reduce the angles and to suitable principal values for evaluating sine,…

MATHEMATICS · Subjective · CBSE · Mathematics · Trigonometric Functions · Trigonometric Functions

Problem

Let E=sin⁡1000∘+cos⁡(−740∘)+tan⁡2490∘E = \sin 1000^{\circ} + \cos(-740^{\circ}) + \tan 2490^{\circ}. (a) Reduce the angles 1000∘, −740∘1000^{\circ},\,-740^{\circ} and 2490∘2490^{\circ} to suitable principal values for evaluating sine, cosine and tangent respectively. (b) Determine the exact value of each trigonometric term. (c) Hence find the exact value of EE. (d) For each of the three given angles, mention the quadrant in which its principal value lies and comment on the sign you obtained for the corresponding trigonometric ratio.

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