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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

What is the reciprocal of sin θ?

Answer: cosec θ.

  • A cos θ
  • B tan θ
  • C cosec θ
  • D sec θ

Correct answer: C. cosec θ

Explanation: cosec θ = 1/sin θ (cosecant is the reciprocal of sine).

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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