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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

sin² 30° + cos² 30° =

Answer: 1.

  • A 1/2
  • B 1
  • C 2
  • D √3/2

Correct answer: B. 1

Explanation: By the identity, sin²θ + cos²θ = 1 for ALL angles, including 30°.

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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