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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

If sin A = 5/13, find cos A (in a right triangle).

Answer: 12/13.

  • A 5/12
  • B 12/13
  • C 13/12
  • D 5/13

Correct answer: B. 12/13

Explanation: Using sin²A + cos²A = 1: cos²A = 1 - 25/169 = 144/169, cos A = 12/13.

xy0 deg30 deg45 deg (1/sqrt2, 1/sqrt2)60 deg90 degcos45sin45

Unit circle with standard angles 0, 30, 45, 60, 90 degrees; at 45 degrees the point is (cos45, sin45) = (1/sqrt2, 1/sqrt2).

Concept context

Ratios, identities, and applications in triangles

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