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Indian Navy Pilot Trigonometric Functions — practice questions

Explore 3 free Trigonometric Functions questions in Indian Navy Pilot Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Trigonometric Functions questions and exercises with answers

Showing questions 1–3 of 3.

Worked practice questions

sin(2θ) equals:

  1. 2 sin θ cos θ
  2. sin²θ - cos²θ
  3. sin θ + cos θ
  4. 2 sin θ
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Correct answer: A. 2 sin θ cos θ

**Double-angle formula:** sin(2θ) = 2 sinθ cosθ. (Derived from sin(θ + θ).)

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In triangle ABC with sides a, b, c opposite to angles A, B, C: sine rule states:

  1. a/sinA = b/sinB = c/sinC
  2. a + b + c = 0
  3. sinA = sinB
  4. a²+b² = c²
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Correct answer: A. a/sinA = b/sinB = c/sinC

**Sine rule:** a/sinA = b/sinB = c/sinC = 2R (where R is circumradius). Useful for solving triangles when you know any side + opposite angle + one more piece.

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Match the trig identity to its result

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Matching pairs
  1. Left
    sin²θ + cos²θ
    Right
    1
  2. Left
    1 + tan²θ
    Right
    sec²θ
  3. Left
    1 + cot²θ
    Right
    cosec²θ
  4. Left
    sin(2θ)
    Right
    2 sinθ cosθ
  5. Left
    cos(2θ)
    Right
    cos²θ − sin²θ

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