समीकरण का मूल्यांकन कीजिए। 

  1. ei ⋅ 16π
  2. - ei ⋅ π/16
  3. ei ⋅ 8π
  4. - ei ⋅ π/8

Answer (Detailed Solution Below)

Option 1 : ei ⋅ 16π
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Detailed Solution

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संकल्पना:

गणना:

दिए गए समीकरण: को निम्न रूप में पुनः लिखा जा सकता है 

 =  

 = 

चूँकि हम जानते हैं कि sin π/4 = 1/√2 = cos π/4

इसलिए, हम दिए गए समीकरणको निम्न रूप में लिख सकते हैं

 = (cos π/4 + i sin π/4)64

चूँकि हम जानते हैं कि, 

⇒ (cos π/4 + i sin π/4)64 = (ei ⋅ π/4 )64

⇒ (cos π/4 + i sin π/4)64 = ei ⋅ 16π

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