Class 12 Mathematics: Inverse Trigonometric Functions Worksheet

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 12 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 easy level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

Welcome to our Class 12 Mathematics Practice Worksheet on Inverse Trigonometric Functions! This easy-difficulty worksheet is specifically designed to help students master the fundamental concepts of this crucial topic. Inverse trigonometric functions (often abbreviated as ITF) are an essential part of the Class 12 CBSE Mathematics curriculum, building upon your understanding of basic trigonometry. This worksheet covers basic definitions, principal values, and simple identities, ensuring a strong foundation. Mastering these concepts is vital not just for excelling in board examinations but also for higher studies in engineering, physics, and other science-related fields. This practice sheet is ideal for students looking to reinforce their understanding, teachers seeking supplementary materials for classroom use, and parents who want to support their child's learning journey with high-quality, CBSE-aligned resources. Dive in and solidify your knowledge of IFs today!

What your child will learn

• Practice finding the principal values of inverse trigonometric functions.
• Identify the domain and range of basic inverse trigonometric functions.
• Apply fundamental properties and identities of inverse trigonometric functions.
• Solve simple equations involving inverse trigonometric expressions.
• Recognise the definitions of inverse sine, cosine, and tangent functions.

Understanding the concept

Inverse trigonometric functions are essentially the 'undo' button for regular trigonometric functions like sine, cosine, and tangent. Just as addition undoes subtraction, and squaring a number can be undone by taking its square root, inverse trigonometric functions help us find the angle when we know the value of the sine, cosine, or tangent of that angle. For example, if we know that sin(30°) = 1/2, then the inverse sine of 1/2, written as arcsin(1/2) or sin⁻¹(1/2), tells us the angle is 30°. However, there's a small catch! Since trigonometric functions are periodic (they repeat their values), there are many angles that could have the same sine value. To make these inverse functions unique and well-defined, we restrict their range to a specific set of angles. This specific output is called the 'principal value'. For instance, the principal value for sin⁻¹(x) always lies between -90° and +90° (or -π/2 and π/2 radians). Similarly, for cos⁻¹(x), the principal value is between 0° and 180° (or 0 and π radians). Understanding these defined ranges and principal values is key to working correctly with inverse trigonometric functions and solving related problems.

Tips for parents & teachers

• Encourage your child to review the basic trigonometric functions and their graphs before starting this worksheet.
• Discuss the concept of 'principal value' with your child to ensure they understand why ranges are restricted.
• Work through the first few problems together to demonstrate the correct approach and build confidence.
• Have your child explain their steps for finding principal values, reinforcing their understanding.
• Use this worksheet as a quick revision tool before tests or as a warm-up activity in class.

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 12) 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 12 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.