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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

In a triangle ABC, tanA + tanB + tanC = 6 and tanA·tanB = 2. Then tanC equals:

Answer: 3.

  • A 2
  • B 3
  • C 4
  • D 6

Correct answer: B. 3

Explanation: In a triangle tanA + tanB + tanC = tanA·tanB·tanC. So 6 = 2·tanC, giving tanC = 3.

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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