Question
Download Solution PDFयदि Sin θ = \(\frac{4}{5}\) है, तो tan θ - Cot θ का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
Sin θ = 4/5
प्रयुक्त सूत्र:
tan θ = P/B ; cot θ = B/P
पाइथागोरस प्रमेय द्वारा:
⇒ H2 = P2 + B2
जहाँ, P = लंब; B = आधार; H = कर्ण
गणना:
tan θ = P/B ; cot θ = B/P
पाइथागोरस प्रमेय द्वारा:
⇒ H2 = P2 + B2
⇒ 52 = 42 + B2
⇒ B2 = 52 - 42
⇒ B = √(25 - 16) = √9
⇒ B = 3
tan θ - Cot θ
⇒ (P/B) - (B/P)
⇒ (4/3) - (3/4) = (16 - 9)/12
⇒ 7/12
∴ सही उत्तर 7/12 है।
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