Question
Download Solution PDFयदि tan A + cot A = 2 है, तब 2(tan2 A + cot2 A) का मान कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
tan A + cot A = 2
गणना:
प्रश्न के अनुसार,
हमारे पास है: tan A + cot A = 2
दोनों पक्षों का वर्ग करने पर, हमें प्राप्त होता है:
⇒ (tan A + cot A)2 = (2)2
⇒ tan2 A + cot2 A + 2(tan A)(cot A) = 4
⇒ tan2 A + cot2 A + 2(tan A)(1/tan A) = 4
⇒ tan2 A + cot2 A + 2 = 4
⇒ tan2 A + cot2 A = 2
अब,
2(tan2 A + cot2 A) = 2 × 2
⇒ 4
∴ 2(tan2 A + cot2 A) का मान 4 है।
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