Question
Download Solution PDFनिम्नलिखित समीकरण को हल कीजिए।
\(\frac{\sin^3 α + \cos^3 α}{\sin α + \cos α}\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
\(\frac{\sin^3 α + \cos^3 α}{\sin α + \cos α}\)
प्रयुक्त सूत्र:
a3 + b3 = (a + b) (a2 + b2 - ab)
sin2θ + cos2θ = 1
गणना:
\(\frac{\sin^3 α + \cos^3 α}{\sin α + \cos α}\) = [(sin α + cos α) (sin2α + cos2α - sinα cosα)]/(sin α + cos α)
⇒ 1 - sin α cos α
समीकरण का मान 1 - sin α cos α है।
Last updated on Jun 13, 2025
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