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CUET · MATHS · PYQ PAPER 2025

The minimum value of the function f(x) = 3sinx - 4cosx, x ∈ [- 4π, 4π] is equal to

  1. A 0
  2. B -4
  3. C -5
  4. D -7
Verified Solution

Answer & Solution

Correct Answer

(C) -5

Step-by-step Solution

Detailed explanation

\(R = \sqrt{a^2 + b^2}\) \(R = \sqrt{3^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5\) Minimum value = \(-R = -5\)