Trigonometric Identities
ICSE · Class 10 · Mathematics
Flashcards for Trigonometric Identities — ICSE Class 10 Mathematics. Quick Q&A cards covering key concepts, definitions, and formulas.
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Get startedSolve 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…
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…
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…
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…
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…
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…
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…
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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