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WBJEE Trigonometric Max — practice questions

Explore 1 free Trigonometric Max questions in WBJEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Trigonometric Max questions and exercises with answers

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Find the **maximum value** of $f(x) = \sin x + \cos x$ for $x \in [0, 2\pi]$.Read the answer and worked solution →

Worked practice questions

Find the **maximum value** of $f(x) = \sin x + \cos x$ for $x \in [0, 2\pi]$.

  1. $1$
  2. $\sqrt 2$
  3. $2$
  4. $\pi$
Show answer and solution

Correct answer: B. $\sqrt 2$

$f(x) = \sin x + \cos x = \sqrt 2 \sin(x + \pi/4)$. Max value = $\sqrt 2$, attained when $\sin(x + \pi/4) = 1$ ⇒ $x = \pi/4$.

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