Question
Download Solution PDF\(\rm \sqrt{3}\) - i के आयाम का प्रमुख मान क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
जब z = x + iy तब एक सम्मिश्र संख्या का प्रमुख आयाम θ = tan-1(\(\rm \frac{y}{x}\))
tan \(\rm \frac{\pi }{6}\) = \(\rm \frac{1}{{\sqrt{3}}}\)
x > 0, y < 0, IVवें चतुर्थांश में बिंदु निहित है।
गणना:
मान लीजिए θ, \(\rm \sqrt{3}\) - i के आयाम का प्रमुख मान है
के बाद से, tan θ = \(\rm \frac{-1}{{\sqrt{3}}}\) और \(\rm \sqrt{3}\) - i IVवें चतुर्थांश में बिंदु निहित है।
tan θ = tan (-\(\rm \frac{\pi }{6}\)), θ = -\(\rm \frac{\pi }{6}\)
Last updated on May 6, 2025
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