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Trigonometry

Maharashtra Board · Class 10 · Mathematics

Flashcards for Trigonometry — Maharashtra Board Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.

45 questions30 flashcards5 concepts

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30 Flashcards
Card 1Basic trigonometric ratios

Fill in the ratios for a right triangle: sin θ = ?, cos θ = ?, tan θ = ?

Answer

Step 1: Use the standard right-triangle ratios. Step 2: sin θ = opposite / hypotenuse. Step 3: cos θ = adjacent / hypotenuse. Step 4: tan θ = opposite / adjacent. Answer: sin θ = opposite/hypotenuse, …

Card 2Basic trigonometric ratios

In a right triangle, if the side opposite θ is 4 cm and the hypotenuse is 8 cm, find sin θ.

Answer

Step 1: Use sin θ = opposite / hypotenuse. Step 2: Substitute the values: sin θ = 4/8. Step 3: Simplify: sin θ = 1/2. Answer: sin θ = 1/2.

Card 3Reciprocal ratios

If sin θ = 3/5, what is cosec θ?

Answer

Step 1: Use the reciprocal relation: cosec θ = 1/sin θ. Step 2: Substitute sin θ = 3/5. Step 3: cosec θ = 1/(3/5) = 5/3. Answer: cosec θ = 5/3.

Card 4Reciprocal ratios

If cos θ = 7/10, find sec θ.

Answer

Step 1: Use sec θ = 1/cos θ. Step 2: Substitute cos θ = 7/10. Step 3: sec θ = 1/(7/10) = 10/7. Answer: sec θ = 10/7.

Card 5Reciprocal ratios

If tan θ = 2/3, find cot θ.

Answer

Step 1: Use cot θ = 1/tan θ. Step 2: Substitute tan θ = 2/3. Step 3: cot θ = 1/(2/3) = 3/2. Answer: cot θ = 3/2.

Card 6Product identities

Evaluate: sin θ × cosec θ when sin θ = 5/6.

Answer

Step 1: Find cosec θ = 1/sin θ = 6/5. Step 2: Multiply: sin θ × cosec θ = (5/6) × (6/5). Step 3: The factors cancel. Answer: 1.

Card 7Product identities

Evaluate: cos θ × sec θ when cos θ = 4/7.

Answer

Step 1: Find sec θ = 1/cos θ = 7/4. Step 2: Multiply: cos θ × sec θ = (4/7) × (7/4). Step 3: The factors cancel. Answer: 1.

Card 8Product identities

Evaluate: tan θ × cot θ when tan θ = 3/4.

Answer

Step 1: Find cot θ = 1/tan θ = 4/3. Step 2: Multiply: tan θ × cot θ = (3/4) × (4/3). Step 3: The factors cancel. Answer: 1.

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Frequently Asked Questions

What are the important topics in Trigonometry for Maharashtra Board Class 10 Mathematics?
Trigonometry covers several key topics that are frequently asked in Maharashtra Board Class 10 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Trigonometry — Maharashtra Board Class 10 Mathematics?
Understand the core concepts first, then work through the 45 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many flashcards are available for Trigonometry?
There are 30 flashcards for Trigonometry covering key definitions, formulas, and concepts. Use them daily for 10–15 minutes for best results.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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