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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

In triangle ABC, if A = 60°, b = 3, c = 4, find a (cosine rule).

Answer: √13.

  • A √7
  • B √13
  • C 2√3
  • D √11

Correct answer: B. √13

Explanation: a² = b² + c² - 2bc cosA = 9 + 16 - 2×3×4×(1/2) = 25 - 12 = 13. a = √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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