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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

What is tan 45°?

Answer: 1.

  • A 1/√2
  • B √3
  • C 1
  • D 0

Correct answer: C. 1

Explanation: tan 45° = 1. In an isosceles right triangle, opposite = adjacent, so ratio = 1.

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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