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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

The range of sin x for all x is:

Answer: [-1,1].

  • A [0,1]
  • B [-1,1]
  • C [-π/2, π/2]
  • D [0, 2π]

Correct answer: B. [-1,1]

Explanation: sin x ranges from -1 to 1 inclusive for all real x.

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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