Find all the Seventh roots of (3+4i)

find all the seventh roots of (3+4i) First, convert the complex number to polar form \( 3 + 4 i=5 \cos{\left({atan}{\left(\frac{4}{3} \right)} \right)} + 5 i \sin{\left({atan}{\left(\frac{4}{3} \right)} \right)} \) According to the De Moivre’s Formula, all n-th roots of a complex number \( r\left(\cos\left(\theta\right)+i\sin\left(\theta\right)\right) \) are given by  \( \sqrt[n]{r}\left(\cos\left(\frac{\theta+2\pi k}{n}\right)+i\sin\left(\frac{\theta+2\pi k}{n}\right)\right) \) We have […]

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What is The Formula of Cos(a+b)?

Cos(A+B) Formula Are you looking Cos(a+b) formula? Here you can get all information such as how to proof this formula as well as verify through values. First of all we are going to share the formula of Cos(a+b): \(\cos(a + b) = \cos(a) \cos(b) – \sin(a) \sin(b)\) Cos (A+B) Proof From triangle ACE we get, […]

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