Question
Download Solution PDFयदि sin θ + cosec θ = \(\sqrt{5}\) है, तब sin3 θ + cosec3 θ का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
sin θ + cosec θ = √5
प्रयुक्त अवधारणा:
x3 + 1/x3 = (x + 1/x)3 - 3(x + 1/x)
गणना:
sin θ + cosec θ = √5
⇒ sin θ + 1/sin θ = √5
अब,
sin3 θ + 1/sin3 θ = (√5)3 - 3(√5)
⇒ 5√5 - 3√5 = 2√5
∴ अभीष्ट उत्तर 2√5 है।
Last updated on Jun 13, 2025
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