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📐 Mathematics  ·  Trigonometric Functions  ·  JEE

In a right triangle with hypotenuse 5 and opposite 3, sin θ =

Answer: 3/5.

  • A 3/5
  • B 4/5
  • C 3/4
  • D 5/3

Correct answer: A. 3/5

Explanation: sin θ = opposite/hypotenuse = 3/5. This is a 3-4-5 Pythagorean triple.

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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