Introduction to Trigonometry — Flashcards
Madhya Pradesh Board · Class 10 · Mathematics
60 flashcards for Introduction to Trigonometry (Madhya Pradesh Board Class 10 Mathematics) to test yourself on key terms and facts.
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Solve a height problem: A student sees the top of a tall structure and forms a right triangle with the ground. Which branch of mathematics is used to find the height without measuring it directly?
Answer
Step 1: The situation forms a right triangle. Step 2: Heights and distances in such cases are found using trigonometric ratios. Step 3: Trigonometry relates sides and angles of a triangle. Answer: Tri…
ऊँचाई की समस्या हल करें: एक छात्र एक ऊँचे ढाँचे के शीर्ष को देखता है और जमीन के साथ एक समकोण त्रिभुज बनाता है। सीधे मापे बिना ऊँचाई ज्ञात करने के लिए गणित की कौन-सी शाखा का उपयोग किया जाता है?
Answer
चरण 1: स्थिति एक समकोण त्रिभुज बनाती है। चरण 2: ऐसे मामलों में ऊँचाइयाँ और दूरियाँ त्रिकोणमितीय अनुपातों का उपयोग करके ज्ञात की जाती हैं। चरण 3: त्रिकोणमिति त्रिभुज की भुजाओं और कोणों को जोड़ती है। उत…
Write the side names in right triangle ABC when angle A is the reference angle.
Answer
Step 1: Identify the hypotenuse: AC. Step 2: Identify the side opposite angle A: BC. Step 3: Identify the side adjacent to angle A: AB. Answer: Opposite = BC, adjacent = AB, hypotenuse = AC.
समकोण त्रिभुज ABC में भुजाओं के नाम लिखिए जब कोण A संदर्भ कोण हो।
Answer
चरण 1: कर्ण की पहचान करें: AC. चरण 2: कोण A के सामने वाली भुजा की पहचान करें: BC. चरण 3: कोण A के पास वाली भुजा की पहचान करें: AB. उत्तर: सामने वाली = BC, पास वाली = AB, कर्ण = AC.
Formula for sine of angle A in a right triangle.
Answer
sin A = side opposite to angle A / hypotenuse = BC/AC Meaning: opposite side is BC, hypotenuse is AC. Quick example: If BC = 3 cm and AC = 5 cm, then sin A = 3/5.
समकोण त्रिभुज में कोण A के sine का सूत्र लिखिए।
Answer
sin A = कोण A के सामने वाली भुजा / कर्ण = BC/AC अर्थ: सामने वाली भुजा BC है, कर्ण AC है। त्वरित उदाहरण: यदि BC = 3 cm और AC = 5 cm है, तो sin A = 3/5.
Formula for cosine of angle A in a right triangle.
Answer
cos A = side adjacent to angle A / hypotenuse = AB/AC Meaning: adjacent side is AB, hypotenuse is AC. Quick example: If AB = 4 cm and AC = 5 cm, then cos A = 4/5.
समकोण त्रिभुज में कोण A के cosine का सूत्र लिखिए।
Answer
cos A = कोण A के पास वाली भुजा / कर्ण = AB/AC अर्थ: पास वाली भुजा AB है, कर्ण AC है। त्वरित उदाहरण: यदि AB = 4 cm और AC = 5 cm है, तो cos A = 4/5.
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