JEE Mathematics · Hard

Trigonometry: R-formula MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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R-formulaHardQuestion 200017

Question

The maximum value of 3 sin θ + 4 cos θ is:
  1. A
    3
  2. B
    4
  3. C
    5
    Correct
  4. D
    7

Correct answer

5

Explanation

a sin θ + b cos θ has maximum value √(a²+b²). Here: √(9+16) = √25 = 5.