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.
2
Previous Board Questions
3
Similar Practice Questions
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
- 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.
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.