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Gaurav Seth 4 years, 8 months ago
De moivre’s Formula
Mathematical Statement: For any real number x, we have
(cos x + i sin x)^n = cos(nx) + i sin(nx)OR {tex}(e^{i \theta})^n = e^{in \theta}(eiθ)n=einθ {/tex}Where n is a positive integer and “ i “ is the imaginary part, and i = √(-1). Also assume i2 = -1.
Remark: Result can be shown true when n is a negative integer and even
n is a rational number.
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Yogita Ingle 4 years, 10 months ago
1 score =20 years
Let the age be x.
Then, x+ 1/2x+3x3=4x20+7
⇒3/2x+9=80+7
⇒3/2 x=78
⇒x=78×2/3
⇒x=52
Therefore, the age is 52 years.
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Sonu Mishra 3 years, 11 months ago
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