Question
Download Solution PDFजर sin θ + cosec θ = \(\sqrt{5}\) , तर sin3 θ + cosec3 θ = ___________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेली माहिती:
sin θ + cosec θ = √5
वापरलेली संकल्पना:
x3 + 1/x3 = (x + 1/x)3 - 3(x + 1/x)
गणना:
sin θ + cosec θ = √5
⇒ sin θ + 1/sin θ = √5
आता,
sin3 θ + 1/sin3 θ = ( √5 )3 - 3 ( √5 )
⇒ 5 √5 - 3 √5 = 2 √5
∴ आवश्यक उत्तर 2 √5 आहे.
Last updated on Jun 13, 2025
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