Question
Download Solution PDFयदि
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
tan2 θ + tan4 θ = 1
प्रयुक्त अवधारणा:
tan2 θ + 1 = sec2 θ
गणना:
⇒ tan2 θ + tan4 θ = 1
⇒ tan2 θ (1 + tan2 θ) = 1
⇒ tan2 θ × sec2 θ = 1
⇒ tan2 θ = 1/sec2 θ = cos2 θ
अब tan2 θ का मान समीकरण में रखने पर:
⇒ tan2 θ + tan4 θ = 1
⇒ tan2 θ + (tan2)2 θ = 1
⇒ cos2 θ + (cos2)2 θ = 1
⇒ cos2 θ + cos4 θ = 1
∴ सही विकल्प 2 है।
Last updated on Jul 7, 2025
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