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Trigonometric Identities — Flashcards

ICSE · Class 10 · Mathematics

28 flashcards for Trigonometric Identities (ICSE Class 10 Mathematics) to test yourself on key terms and facts.

39 questions28 flashcards19 formulas & key relations5 concepts

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A labeled diagram of a right-angled triangle showing the perpendicular, base, and hypotenuse relative to an acute angle, and defining the six trigonometric ratios (sine, cosine, tangent, cosecant, sec
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28 Flashcards·
Sine ratioCosine ratioTangent ratioReciprocal relationQuotient relation
Card 1Sine ratio

Solve using trigonometric ratios: In a right triangle, if the perpendicular is 3 cm and the hypotenuse is 5 cm, find sin A.

Answer

Step 1: Use the sine ratio. Step 2: sin A = Perpendicular / Hypotenuse. Step 3: Substitute the values: sin A = 3/5. Answer: sin A = 3/5…

Card 2Cosine ratio

Solve using trigonometric ratios: In a right triangle, if the base is 12 cm and the hypotenuse is 13 cm, find cos A.

Answer

Step 1: Use the cosine ratio. Step 2: cos A = Base / Hypotenuse. Step 3: Substitute the values: cos A = 12/13. Answer: cos A = 12/13…

Card 3Tangent ratio

Solve using trigonometric ratios: In a right triangle, if the perpendicular is 8 cm and the base is 6 cm, find tan A.

Answer

Step 1: Use the tangent ratio. Step 2: tan A = Perpendicular / Base. Step 3: Substitute the values: tan A = 8/6. Step 4: Simplify: tan A = 4/3. Answer: tan A = 4/3…

Card 4Reciprocal relation

Find the reciprocal of sin A if sin A = 2/7.

Answer

Step 1: Use the reciprocal relation. Step 2: cosec A = 1 / sin A. Step 3: Substitute: cosec A = 1 / (2/7). Step 4: Invert and multiply: cosec A = 7/2. Answer: cosec A = 7/2…

Card 5Reciprocal relation

Find sec A if cos A = 4/9.

Answer

Step 1: Use the reciprocal relation. Step 2: sec A = 1 / cos A. Step 3: Substitute: sec A = 1 / (4/9). Step 4: Invert and multiply: sec A = 9/4. Answer: sec A = 9/4…

Card 6Reciprocal relation

Find cot A if tan A = 5/2.

Answer

Step 1: Use the reciprocal relation. Step 2: cot A = 1 / tan A. Step 3: Substitute: cot A = 1 / (5/2). Step 4: Invert and multiply: cot A = 2/5. Answer: cot A = 2/5…

Card 7Quotient relation

Apply the quotient relation: If sin A = 3/5 and cos A = 4/5, find tan A.

Answer

Step 1: Use tan A = sin A / cos A. Step 2: Substitute the values: tan A = (3/5) / (4/5). Step 3: Divide by multiplying the reciprocal: tan A = 3/4. Answer: tan A = 3/4…

Card 8Quotient relation

Apply the quotient relation: If sin A = 12/13 and cos A = 5/13, find cot A.

Answer

Step 1: Use cot A = cos A / sin A. Step 2: Substitute the values: cot A = (5/13) / (12/13). Step 3: Divide by multiplying the reciprocal: cot A = 5/12. Answer: cot A = 5/12…

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Frequently Asked Questions

What are the important topics in Trigonometric Identities for ICSE Class 10 Mathematics?
Key topics in Trigonometric Identities include Trigonometric Ratios and Side Names, Reciprocal and Quotient Relations, Fundamental Identities, Proving Identities Step by Step. Study these first, then practise questions on each for the ICSE Class 10 board exam.
How many flashcards are available for Trigonometric Identities?
There are 28 flashcards for Trigonometric Identities covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Trigonometric Identities for the ICSE Class 10 board exam?
Learn the core ideas first, then work through the 39 practice questions on Trigonometric Identities. Revise definitions regularly and use flashcards for quick recall before the exam.

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

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