Home/
Competitive Exams/
JEE Main & Advanced/
Mathematics/
Trigonometry/
Question 200028
JEE Mathematics · Hard

Trigonometry: Combined equation MCQ

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

Timer-based practiceDetailed answer reviewMobile-friendly flow
Combined equationHardQuestion 200028

Question

The general solution of sin x + cos x = 1 is:
  1. A
    x = 2nπ or x = 2nπ + π/2
    Correct
  2. B
    x = nπ or x = nπ + π/2
  3. C
    x = 2nπ ± π/4
  4. D
    x = nπ/4

Correct answer

x = 2nπ or x = 2nπ + π/2

Explanation

Write as √2 sin(x + π/4) = 1 → sin(x + π/4) = 1/√2. So x + π/4 = 2nπ + π/4 (giving x = 2nπ) or x + π/4 = 2nπ + 3π/4 (giving x = 2nπ + π/2).

Review Trigonometry notesStart timed chapter practice