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The line segment ¯ has length and sum of the lengths of ¯ and ¯ equals the length of ¯, which is 1. Therefore, cos 2 θ + 2 sin 2 θ = 1 {\displaystyle \cos 2\theta +2\sin ^{2}\theta =1} .
Substituting r(cos θ + i sin θ) for e ix and equating real and imaginary parts in this formula gives dr / dx = 0 and dθ / dx = 1. Thus, r is a constant, and θ is x + C for some constant C. The initial values r(0) = 1 and θ(0) = 0 come from e 0i = 1, giving r = 1 and θ = x.
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Move over, Wordle, Connections and Mini Crossword—there's a new NYT word game in town! The New York Times' recent game, "Strands," is becoming more and more popular as another daily activity ...
1. To hold onto something (instead of using it right away). 2. Ways to polish a surface (using a little bit of force). 3. These words are related to "betting." 4. The words in this category ...
At the time of her death, O’Connor’s estate was worth £1.7 million but reduced to £ 1.4 million ($ 1.75 million) after debts, legal fees, and funeral costs.
2024 Kentucky Amendment 1; 2024 Kentucky Amendment 2; 2024 Kentucky House of Representatives election; 2024 Kentucky Senate election; 2024 MAMA Awards; 2024 Maryland elections; 2024 Maryland Question 1; 2024 Montana Initiative 128; 2024 Montana Secretary of State election; 2024 Northeastern United States wildfires; 2024 Oregon elections
The average cost of a homeowners policy has risen more than 30% since 2020. Yet you can still find ways to save on insurance, especially for seniors. See cost-saving tips for paying less on your ...