Conversion from Polar to Rectangular Form Complex and vice versa. r cos Θ = x , r sin Θ = y Conversion of polar to Rectangular
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Category: IB Maths HL
Sigma notation
Sigma Notation. Σ This symbol (called Sigma) means “sum up”. I love Sigma, it is fun to use, and can do many clever things. So Σ means to sum things up Sigma notation
Parabola
Vertex of a parabola is at the ‘origin’ and the axis of symmetry is along the x or y-axis, then the equation of the parabola is the simplest. So that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y – k)2= 4p (x – […]
System of equations
system of equations is a collection of two or more equations with a same set of unknowns. In solving a system of equations, we try to find values for each of the unknowns that will satisfy every equation in the system. The equations in the system can be linear or non-linear. System of equation
Linear trigonometric equation
Linear Trigonometric equations are either linear or quadratic in nature. To find the angle value(s) that satisfy the given equation. Because it is linear trigonometric eq. hence it has two roots. Linear trigonometric eq
Transformation of function
Graph transformation is the process by which an existing graph. Transformation is four types . Transformations of Graphs … For the base function f (x) and a constant k, the function given by. g (x) = f (x) + k;. can be sketched by shifting f (x) k units vertically. similarly g(x) = kf(x) , […]
Interpretation of trigonometric graph
Sound waves travel in a repeating wave pattern. This represent graphically by sine and cosine functions. As trigonometric function is periodic therefore it use for sound wave. Similarly we use in wheel also for model function, because of rotation of wheel. Also use of periodic conditions. trigonometric function
Cross product and Applications
Cross Product vs Dot Product . The significant difference between finding a dot product and cross product is the result. The dot product of any two vectors is a number (scalar), whereas the cross product of any two vectors is a vector. Cross product and application
Angle unit conversion
Radians and degrees are two different units for angle. The radian is the SI unit for measuring angles. Because it is continuous therefore it is use in trigonometric function. Hence it represent in multiple of π. Angle unit conversion
Trigonometric Equation (Radian)
Trigonometric Equation involve one or more trigonometric ratios of unknown angles. Due to difference unit of angle , hence it gives angle in different form. Similarly it give value in radian. Trigonometric equation
