Class 10 Maths 2 Chapter 6 Trigonometry Worksheet
Practise Maharashtra Board Class 10 Maths 2 Chapter 6 Trigonometry with MCQs, trigonometric ratios, identities, standard-angle values, height-and-distance applications and questions previously asked in Maharashtra Board examinations.
What Is Included in This Trigonometry Worksheet?
This worksheet contains a carefully selected combination of concept questions, numerical problems and examination-focused practice. Questions previously asked in Maharashtra Board examinations have been included, with the examination year mentioned beside applicable questions in the worksheet.
Additional similar questions are also provided so students can apply the same concepts to new values and situations. This helps students understand the method instead of memorising only one answer.
Class 10 Trigonometry Worksheet
This Class 10 Trigonometry worksheet is designed for Maharashtra State Board students who want structured practice after studying Chapter 6. It begins with basic trigonometric ratios and gradually progresses to standard-angle values, identities and practical height-and-distance questions.
Students must identify the hypotenuse, opposite side and adjacent side according to the selected angle. Each calculation should be written one mathematical step per line, and exact values such as √3 should not be converted into decimals unless the question specifically requires it.
Trigonometric Ratios
Calculate sine, cosine, tangent and their reciprocal ratios using the sides of a right-angled triangle.
Standard Angles
Apply the exact trigonometric values of 0°, 30°, 45°, 60° and 90°.
Heights and Distances
Use angles of elevation and depression to calculate unknown heights and horizontal distances.
Important Trigonometry Formulae
- cosec θ = 1 ÷ sin θ
- sec θ = 1 ÷ cos θ
- cot θ = 1 ÷ tan θ
- 1 + tan² θ = sec² θ
- 1 + cot² θ = cosec² θ
- The opposite and adjacent sides change according to the selected acute angle.
Types of Questions Included
Multiple-Choice Questions
MCQs test trigonometric ratios, reciprocal relationships, standard-angle values, identities and interpretation of right-angled triangles.
Previous Maharashtra Board Questions
Selected questions previously asked in Maharashtra Board examinations are included for focused exam preparation. The relevant examination year is mentioned beside applicable questions.
Additional Similar Questions
Similar questions using different measurements and angles are included so students can practise the same method independently and strengthen their understanding.
Find the Trigonometric Ratio
Students identify the required sides of a right-angled triangle and calculate sine, cosine, tangent or a reciprocal ratio.
Trigonometric Identities
These questions require students to simplify expressions or prove identities by transforming one side until it matches the other.
Heights and Distances
Application questions involve buildings, towers, trees, poles and shadows. Students draw a right-angled triangle and select the appropriate ratio.
How to Solve Trigonometry Questions
- Draw or study the right-angled triangle.
- Mark the given angle and identify the hypotenuse.
- Identify the opposite and adjacent sides for that angle.
- Select the trigonometric ratio containing the required sides.
- Write the formula before substituting the measurements.
- Substitute standard-angle values in exact form.
- Calculate one mathematical step per separate line.
- Write the final answer with the correct unit.
Benefits of Practising This Worksheet
- Provides practice with questions previously asked in Maharashtra Board examinations.
- Shows the examination year beside applicable previous questions.
- Includes similar questions for additional independent practice.
- Improves understanding of all six trigonometric ratios.
- Strengthens standard-angle values and identities.
- Develops confidence in height-and-distance problems.
- Supports school tests, prelims and SSC Board preparation.
Common Mistakes Students Should Avoid
- Do not select the hypotenuse according to appearance.
- Do not identify opposite and adjacent sides before marking the selected angle.
- Do not confuse sin θ with cos θ.
- Do not write tan θ as hypotenuse ÷ adjacent side.
- Do not use rounded decimal values too early.
- Do not apply an identity without checking both sides.
- Do not forget to include the observer’s height when the question requires it.
- Always write the unit in height-and-distance answers.
Check Your Work with Chapter 6 Solutions
Attempt the previous Board questions and similar practice questions independently. After completing the worksheet, compare your formulae, steps and final answers with the complete Chapter 6 Trigonometry solutions.
View Chapter 6 Solutions →Frequently Asked Questions
Select any question to view its answer.
