Question
Download Solution PDF64 tan2θ + 81 cosec2θ + 76 चे किमान मूल्य शोधा.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFवापरलेले सूत्र:
1 + tan2θ = sec2θ
asec2θ + bcosec2θ चे किमान मूल्य (√a + √b)2 आहे
गणना:
64 tan2θ + 81 cosec2θ + 76 = 64 tan2θ + 81 cosec2θ + 64 + 12
⇒ 64 + 64 tan2θ + 81 cosec2θ + 12
⇒ 64(1 + tan2θ) + 81 cosec2θ + 12
⇒ 64 sec2θ + 81 cosec2θ + 12
किमान मूल्य 64 sec2θ + 81 cosec2θ = (√64 + √81)2
⇒ (8 + 9)2
⇒ 289
आता,
किमान मूल्य 64 sec2θ + 81 cosec2θ + 12 = 289 + 12
⇒ 301
∴64 tan2θ + 81 cosec2θ + 76 चे किमान मूल्य 301 आहे.
Last updated on May 29, 2025
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