Mathematics · JEE | TRIGONOMETRIC FUNCTIONS
हिन्दीBased on the unit circle definitions and symmetry shown in the coordinate diagrams (like Fig 3.7), if point \( P(a, b) \) corresponds to angle \( x \) and point \( Q(a, -b) \) corresponds to angle \( -x \), then \( \cos(-x) \) and \( \sin(-x) \) satisfy:
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Correct answer · Option B
\( \cos(-x) = \cos x, \sin(-x) = -\sin x \)
Explanation
Since point Q has coordinates \( (a, -b) \), its abscissa gives \( \cos(-x) = a = \cos x \) and its ordinate gives \( \sin(-x) = -b = -\sin x \).