Class 11 Maths: Trigonometric Functions Worksheet
This worksheet assesses your understanding of fundamental trigonometric identities, principal and general solutions of trigonometric equations, and properties of trigonometric functions for Class 11.
Your device's Print screen will open — choose "Save as PDF" to download.
Track practice: print a star chart
- Q1.The value of sin(75°) is:
- A.(√3 + 1) / (2√2)
- B.(√3 - 1) / (2√2)
- C.1 / (2√2)
- D.√3 / (2√2)
- Q2.If sin x = 1/2 and cos x = -√3/2, then x lies in which quadrant?
- A.First Quadrant
- B.Second Quadrant
- C.Third Quadrant
- D.Fourth Quadrant
- Q3.The general solution for tan x = √3 is:
- A.nπ + π/6, n ∈ Z
- B.nπ + π/3, n ∈ Z
- C.2nπ + π/3, n ∈ Z
- D.2nπ + π/6, n ∈ Z
- Q4.The value of 2 sin(15°) cos(15°) is:
- A.1/4
- B.1/2
- C.√3/2
- D.1
Preview — full sheet in the PDF
What's inside this workbook
This Class 11 Mathematics Practice contains 10 questions across 2 printable pages and includes a full answer key at medium difficulty. Aligned to the CBSE and NCERT syllabus.
How this worksheet helps your child
- Builds confidence in core Mathematics concepts taught in Class 11 through repeated, varied practice.
- Aligned to CBSE and NCERT — questions mirror the pattern children see in school tests and unit assessments.
- Comes with an answer key so parents and students can self-check in minutes, without needing a teacher.
- Pitched at medium level — use it for daily homework, weekend revision or quick exam warm-ups.
About this worksheet
This helpful Class 11 Maths practice worksheet focuses on Trigonometric Functions, a cornerstone topic in high school mathematics. Designed specifically for CBSE board students, this worksheet is an excellent resource for reinforcing fundamental concepts and building confidence. Understanding trigonometric identities, solving trigonometric equations, and grasping the properties of these functions are crucial skills not just for Class 11, but also for future studies in engineering, physics, and advanced mathematics. This CBSE-aligned resource helps students solidify their understanding of principal and general solutions, along with various identities. It's ideal for students looking to practice and master these medium-difficulty questions, ensuring a strong foundation in trigonometry as prescribed by the NCERT curriculum.
What your child will learn
- Practice fundamental trigonometric identities to simplify expressions.
- Solve trigonometric equations to find principal solutions.
- Determine general solutions for various trigonometric equations.
- Identify and apply properties of trigonometric functions.
- Recognise the relationships between different trigonometric ratios.
- Apply trigonometric concepts to solve medium-difficulty problems efficiently.
Understanding the concept
Trigonometric functions are mathematical functions that relate the angles of a right-angled triangle to the ratios of its side lengths. The most common ones are sine (sin), cosine (cos), and tangent (tan). Beyond right triangles, these functions can be applied to any angle, extending to all real numbers, which is crucial in Class 11. An 'identity' in trigonometry is an equation that is true for all possible values of the variables involved, for example, sin²θ + cos²θ = 1. These identities are like powerful tools that help simplify complex trigonometric expressions. A 'trigonometric equation' is an equation involving trigonometric functions of an unknown angle. The solutions to these equations can be 'principal solutions' (usually within a specific interval like 0 to 2π or 0 to 360°) or 'general solutions', which account for the periodic nature of these functions, meaning they repeat after a certain interval. For instance, if sin θ = 1/2, a principal solution is θ = π/6, but the general solution would be θ = nπ + (-1)^n(π/6), where 'n' is any integer, showing all possible angles that satisfy the equation. Understanding these concepts helps students accurately model and solve problems involving cycles, waves, and oscillations.
Tips for parents & teachers
- Encourage your child to review the basic trigonometric ratios and identities before attempting the worksheet.
- Work through a few example problems together to demonstrate how to approach different types of questions.
- Remind your child to show all steps of their calculations, especially when solving equations.
- Use a unit circle or a graph of trigonometric functions to visualise and understand principal and general solutions.
- Discuss any challenging problems with your child after they have completed the worksheet to clarify concepts.
Topics covered
How to use this worksheet at home
Open the print view and use your browser's Print dialog to print on regular A4 paper or save as a PDF. Hand the printed sheet to your child (Class 11) and set a relaxed time limit — 15 to 25 minutes works for most Mathematics worksheets. When they're done, open the "With answer key" view and let them self-mark question by question. Re-print as many times as you need; the file never expires and there's no download limit.
Frequently asked questions
- Is this Mathematics worksheet really free?
- Yes — every workbook on WorkbookWala is 100% free to download and print. No login, no email, no paywall. We're free for students, parents and teachers.
- Is it aligned to the CBSE / NCERT syllabus?
- Yes. All Class 11 worksheets are built around the CBSE and NCERT pattern so they map cleanly to what your child is studying in school.
- Can I print this worksheet at home?
- Yes. Click "Open print view" and use your browser's Print dialog to print on standard A4 paper, or save it as a PDF for later. The layout is designed to fit cleanly without scaling.
- Does it include an answer key?
- Yes — click "With answer key" to print a version with answers included, so parents and students can self-mark in minutes.
More Mathematics worksheets for Class 11
View all →Class 11 Mathematics: Straight Lines Worksheet
This worksheet will help you practice fundamental concepts related to straight lines, including slope, equations of lines, and intercepts. Solve these easy questions to strengthen your understanding.
Class 11 Mathematics: Sequences and Series Worksheet
This worksheet challenges students with advanced problems on Arithmetic Progressions (AP), Geometric Progressions (GP), Harmonic Progressions (HP), and special series, testing their conceptual understanding and problem-solving skills.
Class 11 Maths: Relations & Functions Basics
This worksheet assesses your understanding of fundamental concepts in relations and functions, including types of relations, domain, range, and basic function properties.
Class 11 Mathematics: Sets Worksheet
This worksheet covers fundamental concepts of Sets, including set representation, types of sets, operations on sets, and Venn diagrams. Students will practice identifying and solving problems related to sets.