some important theorem


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Some Important Relations
From the above observation, we find (i) sin A = cos B where A + B = 90 o \ Sine of an angle = Cosine of its complement sin A = cos (90 - A) o sin 40 o = cos (90 - 40) o = cos 50 o (ii) = tan A (iii) By Pythagoras theorem a 2 + b 2 = c 2..
Area Theorems Introduction
Introduction - Area of a region, bounded by a geometrical figure measures the portion of the plane occupied by the region. When we talk of the area of D ABC, we mean the area of the region bounded by D ABC. We shall discuss the geometrical aspects of areas of some important figures like t..
Bayes Theorem, Binomial and Poisson Distributions
Introduction - Suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. Baye's theorem is named after the British mathematician Thomas Bayes who published it in a ..
To find the qth roots of a Complex number
One of the most important applications of De Moivre's theorem is to find the q t h roots of a complex number. Let z = x + iy be a complex number. Let z = r {cos q + i sin q } be its polar form. And z 1/q be the q th root of z. Through De Moivre's h..
Introduction
From our earlier chapter we know that, in statistical experiments, if the events A and B are independent, then But suppose the two events are not independent, that is the occurrence of one depends on the occurrence of other, then how do we compute This can be explained by conditional probability. B..
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ball spin due to magnus effect In a streamline tube, there are numerous streamlines. The velocity of flow increases when the streamlines come close to each other and decreases as the streamlines move away from each other. Lord Rayleigh observed that, when a sphere or cylinder moves in still air while spinning about an axis ..
qth roots of a Complex number
To find the q th roots of a Complex number - One of the most important applications of De Moivre's theorem is to find the q t h roots of a complex number. Let z = x + iy be a complex number. Let z = r {cos q + i sin q } be its polar form. We have z = r {cos(2n p + q ) + i sin (2..
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