Trigonometric Functions — Flashcards
CBSE · Class 11 · Mathematics
64 flashcards for Trigonometric Functions (CBSE Class 11 Mathematics) to test yourself on key terms and facts.
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Solve: Convert 45° into radian measure.
Answer
Step 1: Use the conversion formula Radian measure = π/180 × Degree measure. Step 2: Substitute 45°. Radian measure = (π/180) × 45 = π/4. Answer: 45° = π/4 radian.
हल करें: 45° को रेडियन माप में बदलें।
Answer
Step 1: Use the conversion formula Radian measure = π/180 × Degree measure. Step 2: Substitute 45°. Radian measure = (π/180) × 45 = π/4. Answer: 45° = π/4 radian.
Solve: Convert π/3 radian into degree measure.
Answer
Step 1: Use the conversion formula Degree measure = 180/π × Radian measure. Step 2: Substitute π/3. Degree measure = 180/π × π/3 = 60°. Answer: π/3 radian = 60°.
हल करें: π/3 रेडियन को डिग्री माप में बदलें।
Answer
चरण 1: रूपांतरण सूत्र डिग्री मापe = 180/π × Radian measure. का उपयोग करें। चरण 2: π/3 प्रतिस्थापित करें। डिग्री मापe = 180/π × π/3 = 60°. उत्तर: π/3 रेडियाn = 60°.
Solve: Find the arc length when radius r = 7 cm and angle θ = π/2 radian.
Answer
Step 1: Use l = rθ. Step 2: Substitute r = 7 cm and θ = π/2. Step 3: l = 7 × π/2 = 7π/2 cm. Answer: Arc length = 7π/2 cm.
हल करें: त्रिज्या r = 7 cm and angle θ = π/2 radian. होने पर चाप की लंबाई ज्ञात कीजिए।
Answer
चरण 1: l = rθ. का उपयोग करें चरण 2: r = 7 cm and θ = π/2. प्रतिस्थापित करें चरण 3: l = 7 × π/2 = 7π/2 cm. उत्तर: चाप की लंबाईh = 7π/2 cm.
Solve: In a circle, an arc of length 22 cm subtends an angle of 60°. Find the radius. Use π = 22/7.
Answer
Step 1: Convert 60° into radians. θ = 60 × π/180 = π/3. Step 2: Use l = rθ. Step 3: 22 = r × π/3. Step 4: r = 22 × 3/π. Step 5: Use π = 22/7. r = 66 ÷ (22/7) = 66 × 7/22 = 21 cm. Answer: Radius = 21 c…
हल कीजिए: एक वृत्त में, 22 cm लंबाई का एक चाप 60° का कोण अंतरित करता है। त्रिज्या ज्ञात कीजिए। π = 22/7 का उपयोग कीजिए।
Answer
चरण 1: 60° को रेडियन में बदलें। θ = 60 × π/180 = π/3. चरण 2: l = rθ. का उपयोग करें चरण 3: 22 = r × π/3. चरण 4: r = 22 × 3/π. चरण 5: π = 22/7 का उपयोग करें। r = 66 ÷ (22/7) = 66 × 7/22 = 21 cm. उत्तर: …
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- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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