Question
त्रिकोणमिति की अवधारणा को स्पष्ट कीजिए ।
Answer :
Word Count : 501
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त्रिकोणमिति गणित की एक महत्वपूर्ण शाखा है जो त्रिभुजों, विशेषकर समकोण त्रिभुज के कोणों और भुजाओं के बीच संबंधों का अध्ययन करती है। ‘त्रिकोणमिति’ शब्द संस्कृत के दो शब्दों से मिलकर बना है—‘त्रिकोण’ अर्थात तीन भुजाओं वाला आकार और ‘मिति’ अर्थात मापन। इस प्रकार त्रिकोणमिति का मूल उद्देश्य त्रिभुजों के कोणों और भुजाओं के मापों के बीच संबंध स्थापित करना तथा उनका गणितीय विश्लेषण करना है। प्राचीन काल से ही इसका उपयोग खगोलशास्त्र, वास्तुकला, नौवहन, भूगोल तथा इंजीनियरिंग जैसे क्षेत्रों में होता आया है। त्रिकोणमिति की मूल अवधारणा समकोण त्रिभुज पर आधारित होती है, जिसमें एक कोण 90° का होता है। इस त्रिभुज में तीन भुजाएँ होती हैं—कर्ण (Hypotenuse), आधार (Base) और लम्ब (Perpendicular)। कर्ण वह सबसे लंबी भुजा होती है जो समकोण के सामने
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