Question
Download Solution PDFयदि tan θ + cot θ = 6 है, तो tan2 θ + cot2 θ का मान ____ है।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
tan θ + cot θ = 6.
प्रयुक्त सूत्र:
tan θ = 1 / cot θ
(a + b)2 = a2 + b2 + 2ab
गणना:
tan θ + cot θ = 6
दोनों पक्षों का वर्ग करने पर,
⇒ (tan θ + cot θ)2 = tan2θ + cot2θ + 2tanθcotθ
⇒ 62 = tan2θ + cot2θ + 2 × 1 / cotθ × cotθ
⇒ 36 = tan2θ + cot2θ + 2
⇒ tan2θ + cot2θ = 34
∴ सही उत्तर 34 है।
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