Site navigation

The minimum value of \((2 \sin^2\theta + 3 \cos^2\theta)\) is

Question and options

The minimum value of (2sin⁡2θ+3cos⁡2θ)(2 \sin^2\theta + 3 \cos^2\theta) is
  1. 0
  2. 1
  3. 2
  4. 3

Answer and explanation

Correct answer: C - 2
2sin^2 + 3cos^2 = 2 + cos^2(theta), so the minimum is 2 (when cos theta = 0).

Practice for these exams

  • JIPMAT

Related question papers

Related exam syllabi

More solved explanations in Arithmetic