Complex numbers have two parts, a “real” part and an “imaginary” part (being any number with an “i” in it). The Complex numbers is ” a + bi “; that is, real-part first and part imaginary i=√(-1) due to presence to i second part is imaginary. Imaginary no
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Category: Cambridge Maths A
Product to Sum
Product‐Sum and Sum‐Product Identities. The process of converting products into sums can make a difference . Integrate \( \int \! \sin 3x \cos 4x \, \mathrm{d}x.\) This problem may seem tough at first, but after using the product-to-sum trigonometric formula, this integral very quickly changes into a standard form . Converting a sum of trig functions into a product. Write as and then […]
Conversion Complex No Rectangular to Pol...
Converting from Polar Form to Rectangular Form. Either method of notation is valid for complex numbers. Rectangular form lending itself to addition and subtraction, and polar form lending itself to multiplication and division. Hence polar form of a complex number is another way to represent a complex number. The form z = a + b i is called the rectangular coordinate form of a complex number. This representation is very useful when we multiply or divide complex numbers. Therefore argand diagram use […]
Integration by trigonometric substitutio...
This post is about worksheet of Integration by trigonometric substitution. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] Integration by substitution
Volume -2
To get a solids of revolution we start out with a function, y=f (x), on an interval [a,b]. We then rotate this curve about a given axis to get the surface of the solid of revolution. Volume
Volume
To get a solid of revolution we start out with a function, y=f (x), on an interval [a,b]. We then rotate this curve about a given axis to get the surface of the solid of revolution. volume of revolution
Integration by substitution
This post is about worksheet of integration by trigonometric substitution. It also one of most important concept of integral calculus . The function ƒ(φ(t))φ′(t) is also integrable on [a,b] Integration by trigonometric substitutions
Expansion
Expansions of Algebraic Expressions The formula: a(b+c) = ab + ac Algebraic Expansion. (a+b)(c+d)=ac+ad+bc+bd and (a+b)(a-b)= a ² – b² difference of square (a+b)² = a² + 2ab + b² perfect square (a-b) ²=a²-2ab+b² Expansion
Factorisation
Factorisation process we applied bracket to take common term out. Also we apply difference of square of variable. Hence we reduce no of terms in expression. Therefore factorisation and expansion are reverse process. Factorisation
Further Probability
to calculate Further Probability. Further Probability. An event ( E) is a subset of the sample space. That is, an event is a subset of all possible outcomes. We refer to this subset of outcomes as favourable outcomes. further probabilty
