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Mathematics

If sin A = cos B and A ≠ B then the relation between angles A and B is :

  1. A + B = 180°

  2. A - B = 90°

  3. B - A = 90°

  4. A + B = 90°

Trigonometric Identities

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Answer

Given:

sin A = cos B

⇒ sin A = sin (90° - B)

So, A = 90° - B

⇒ A + B = 90°

Hence, option 4 is the correct option.

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