The De Moivre’s theorem is given by the following formulaīefore apply De Moivre’s theorem we must convert the Cartesian form to polar formĨ.

How can we find the following complex number How can we express the following complex number in polar form?Ĭomplex Numbers, the Cartesian form of Complex Numbers – IB Maths HLħ. Complex Numbers, the Cartesian form of Complex Numbers – IB Maths HL So, the complex number can be written in polar form as follows:Ħ. In this case the argument of the complex number is and the modulus is Complex Numbers, Cartesian to polar form – IB Mathematics HL The argument of a complex number is given by the formula:Īnd the modulus and the polar form will beĪnd the modulus is given by the following formula:ĥ. How can we express the complex number in polar form? Differentiation Practice Exam for IB Mathematics Analysis & Approaches (AA) Standard Level (SL). For many students, calculus is often the most challenging. Complex Numbers, Cartesian to polar form – IB Mathematics HL The Calculus topic has the highest number of suggested teaching hours of the five syllabus topics: 28 hours for SL (just one hour more than the Statistics & Probability topic at SL) and 55 hours for HL (4 hours more than the Geometry & Trigonometry topic at HL). When dividing two complex numbers, we multiply the numerator and denominator by the conjugate of the denominator such as the product in the denominator to become a real number.Ĥ.

Complex Numbers, Division of Complex Numbers – IB Mathematics HL The multiplication is performed as usual and using the fact that we have the following:ģ. The sum (or the difference) of two complex numbers is the complex number which its real part is made up of the sum (or the difference) of their real parts and its imaginary parts are made up of the sum (or the difference) of their imaginary parts. Complex Numbers, Operations with complex numbers – IB Mathematics HL Two complex numbers are equal if their corresponding real parts and imaginary parts are equal.Ģ. Complex Numbers, Equality of complex numbers – IB Mathematics HLįor what values of x and y, the following complex numbers are equal

Ib math studies differential calculus