Class 10 Maths 2 Chapter 6 Trigonometry Worksheet Maharashtra Board

Maharashtra Board Practice Worksheet

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.

Worksheet objective: Revise the complete Trigonometry chapter through previous Maharashtra Board examination questions and additional similar questions designed for effective practice.

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.

1
Concept MCQs
2
Previous Board Questions
3
Similar Practice Questions
4
Application Problems

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.

sin

Trigonometric Ratios

Calculate sine, cosine, tangent and their reciprocal ratios using the sides of a right-angled triangle.

θ

Standard Angles

Apply the exact trigonometric values of 0°, 30°, 45°, 60° and 90°.

h

Heights and Distances

Use angles of elevation and depression to calculate unknown heights and horizontal distances.

Important Trigonometry Formulae

sin θ = Opposite side ÷ Hypotenuse
cos θ = Adjacent side ÷ Hypotenuse
tan θ = Opposite side ÷ Adjacent side
sin² θ + cos² θ = 1
tan θ = sin θ ÷ cos θ
  • 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

  1. Draw or study the right-angled triangle.
  2. Mark the given angle and identify the hypotenuse.
  3. Identify the opposite and adjacent sides for that angle.
  4. Select the trigonometric ratio containing the required sides.
  5. Write the formula before substituting the measurements.
  6. Substitute standard-angle values in exact form.
  7. Calculate one mathematical step per separate line.
  8. 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.

Frequently Asked Questions

Select any question to view its answer.

What is included in the Trigonometry worksheet?
It includes MCQs, trigonometric ratios, standard-angle values, identities, height-and-distance problems, previous Board questions and similar practice questions.
Does it include previous Maharashtra Board questions?
Yes. Selected questions previously asked in Maharashtra Board examinations are included, with the year mentioned beside applicable questions.
Are additional similar questions included?
Yes. Similar questions are included to provide additional practice of the same concepts and methods.
What are the three basic trigonometric ratios?
The three basic ratios are sine, cosine and tangent.
What is an angle of elevation?
It is the angle formed when an observer looks upward from the horizontal line towards an object.
What is an angle of depression?
It is the angle formed when an observer looks downward from the horizontal line towards an object.
Does the worksheet contain MCQs?
Yes. It includes concept-based MCQs followed by numerical, identity-based and application questions.
Is it useful for Maharashtra SSC preparation?
Yes. The previous Board questions and additional similar questions support effective Maharashtra SSC preparation.
When should I check the Chapter 6 solutions?
Check the solutions after making a genuine attempt and showing complete mathematical working.
IconDownload