Question
Download Solution PDFयदि θ एक न्यूनकोण है और tanθ + cotθ = 2 है, तो tan2θ + cot2θ + 2 tan5θcot4 θ का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
tanθ + cotθ = 2
प्रयुक्त सूत्र:
Tan45° = 1
Cot45° = 1
गणना:
प्रश्नानुसार,
tanθ + cotθ = 2
उपरोक्त त्रिकोणमितीय समीकरण में θ = 45° रखने पर, हमें प्राप्त होता है।
⇒ tan45° + cot45° = 1 + 1 = 2
इसलिए,
tan2θ + cot2θ + 2 tan5θcot4 θ = 12 + 12 + 2 × 15 × 14
⇒ 1 + 1 + 2
⇒ 4
∴ अभीष्ट उत्तर 4 है।
Last updated on Jul 12, 2025
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