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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

In triangle ABC, a/(sinA) = 2R. This is the:

Answer: Sine rule.

  • A Cosine rule
  • B Sine rule
  • C Area formula
  • D Tangent rule

Correct answer: B. Sine rule

Explanation: This is the Sine Rule (Law of Sines): a/sinA=b/sinB=c/sinC=2R, where R is the circumradius. It connects each side to the sine of its opposite angle. Used to solve triangles when two angles and a side are known.

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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