How to Express 0.125 as a fraction?

How to Express 0.125 as a fraction? Are you looking for answers to this question (How to Express 0.125 as a fraction?). Then you should follow steps that are mention below for the solution of this question (How to Express 0.125 as a fraction?). Step 1: Any number divided by 1 equals the original number. […]

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How to Express 0.625 as a fraction?

How to Express 0.625 as a fraction? Are you looking for answers to this question (How to Express 0.625 as a fraction?). Then you should follow steps that are mention below for the solution of this question (How to Express 0.625 as a fraction?). Step 1: Any number divided by 1 equals the original number. […]

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What Is The Derivative Of tan(x)?

Derivative of \(tanx = sec^2x \) What Is The Derivative Of tan(x)? \( \frac{d}{dx} {tanx} = \frac{d}{dx} \frac{sinx}{cosx}\) [we know that \( tanx =\frac{sinx}{cosx} \)] \( => \frac{d}{dx} {tanx} = \frac{cosx \times \frac{d}{dx} {sinx} – \frac{d}{dx} {cosx} \times sinx}{cos^2x} \) [Use Quotient Rule] \( => \frac{d}{dx} {tanx} = \frac{cosx \times cosx – (-sinx) \times sinx}{cos^2x} […]

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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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