OnlineCBT Logo OnlineCBT

Mathematics · JEE | TRIGONOMETRIC FUNCTIONS

हिन्दी

Based 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:

Question diagram
  1. A
    \( \cos(-x) = -\cos x, \sin(-x) = -\sin x \)
  2. B
    \( \cos(-x) = \cos x, \sin(-x) = -\sin x \)
  3. C
    \( \cos(-x) = \cos x, \sin(-x) = \sin x \)
  4. D
    \( \cos(-x) = -\cos x, \sin(-x) = \sin x \)
View Answer & Solution

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 \( \sin(-x) = -b = -\sin x \).
Address Contact

+91 9694780911

E-mail

onlinecbtportal@gmail.com

Helpline Number

+91 9694780911


Click To Download
Get it on Google Play

ऐप डाउनलोड करने
के लिए Google Play पर
उपलब्ध है

WhatsApp Chat