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📝 Continuity of Trigonometric Functions

📖 From Calculus • 2. Limits and Continuity an Introduction • 30 questions available

Practice MCQs for Continuity of Trigonometric Functions. Test your knowledge with carefully crafted questions across easy, medium, and hard difficulty levels.

🔄 Last updated: 2026-07-12

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📝 Sample Questions

Q1. Which trigonometric functions are continuous everywhere?

🔹 A. \(\sin x\) and \(\cos x\) only

🔹 B. \(\tan x\) and \(\cot x\) only

🔹 C. All six trigonometric functions

🔹 D. \(\sin x\), \(\cos x\), and \(\tan x\)

💡 Difficulty: easy | ✅ Correct: A

Q2. What is \(\lim_{x\to \pi/2} \tan x\)?

🔹 A. 0

🔹 B. 1

🔹 C. Does not exist

🔹 D. \(\infty\)

💡 Difficulty: medium | ✅ Correct: C

Q3. What is \(\lim_{x\to c} \sin x\) for any real number \(c\)?

🔹 A. \(\sin c\)

🔹 B. \(\cos c\)

🔹 C. 0

🔹 D. 1

💡 Difficulty: easy | ✅ Correct: A

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🔗 Related Topics

📝 Approximating Roots 📝 Areas and Limits 📝 Continuity in Applications 📝 Continuity of Compositions 📝 Continuity of Inverse Functions

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