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Trigonometry — Flashcards

Maharashtra Board · Class 10 · Mathematics

30 flashcards for Trigonometry (Maharashtra Board Class 10 Mathematics) to test yourself on key terms and facts.

45 questions30 flashcards23 formulas & key relations5 concepts

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30 Flashcards·
Basic trigonometric ratiosReciprocal ratiosProduct identities
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?
Key topics in Trigonometry include Basic Trigonometric Ratios, Reciprocal Ratios, Fundamental Trigonometric Identities, Values of Trigonometric Ratios for Standard Angles. Study these first, then practise questions on each for the Maharashtra Board Class 10 board exam.
How many flashcards are available for Trigonometry?
There are 30 flashcards for Trigonometry covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Trigonometry for the Maharashtra Board Class 10 board exam?
Learn the core ideas first, then work through the 45 practice questions on Trigonometry. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

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

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All Maharashtra Board Class 10 Mathematics Flashcards

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