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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

1 + tan²θ =

Answer: sec²θ.

  • A sec²θ
  • B cosec²θ
  • C cos²θ
  • D sin²θ

Correct answer: A. sec²θ

Explanation: Pythagorean identity: 1 + tan²θ = sec²θ.

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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