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sparsh
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using eulers formula express cos5ø in terms of cosø. Hence show that =cos(pie/10) is a root of the equation 16x^4 - 20x^2 +5 =0 ..
Thanks in advance .
Thanks in advance .
Euler's formula states:sparsh said:Can i know what is the basic difference between the Eulers Formula and the De moivers theorum. I mean they produce the same result.
Complex numbers are numbers that consist of both a real and imaginary part. The real part is a regular number, while the imaginary part is a multiple of the square root of -1, denoted as "i". The general form of a complex number is a + bi, where a is the real part and bi is the imaginary part.
To add or subtract complex numbers, you simply add or subtract the real parts and the imaginary parts separately. For example, (3 + 2i) + (1 + 5i) = (3 + 1) + (2i + 5i) = 4 + 7i. For subtraction, the process is the same, but with a minus sign in between the numbers.
A real number is a regular number that can be plotted on a number line and has no imaginary part. A complex number, on the other hand, has both a real and imaginary part and cannot be plotted on a number line. Additionally, real numbers can be written in decimal form, while complex numbers are usually written in standard form (a + bi).
Yes, complex numbers can be multiplied and divided using the FOIL method and the rules of exponents. To multiply, you multiply the real parts and the imaginary parts separately and combine them. To divide, you multiply the numerator and denominator by the complex conjugate of the denominator and simplify.
Complex conjugates are pairs of complex numbers that have the same real part but opposite signs on the imaginary part. For example, the complex conjugates of 3 + 2i are 3 - 2i and vice versa. When dividing complex numbers, the denominator should be multiplied by its conjugate to simplify the expression.