Exploring Trigonometric Formulas


Trigonometric Formulae on

From Sum and Difference Formulae of Sine and Cosine
To get Sum and Difference Formulae  of Tangent  

From Sum and Difference Formulae 
To get Product to Sum Formulae


From Sum and Difference Formulae 
To get Sum to Product Formulae 


Pythagorean Identities and Exercises

From Sum Formulae to get Double Angle Formulae
From Double Angle Formulae Cosine
 To get Half Angle Formulae 

Exercises 

Comments

Post a Comment

Popular posts from this blog

Calculus Lectures - Integral Summary

Image
Basic integrals to be memorized clearly - integrals of power, exponential, logarithm and basic trigonometric functions Other important integrals of trigonometric functions  Other important integrals of trigonometric functions - Continue  An important integration technique - Trigonometric substitutions  Integrals of Inverse Trigonometric functions
Read more

Calculus Lectures - Derivative Summary

Image
Concept of differentiability, derivative and derivative function Differentiation Rules  Derivatives of Power, Exponential and Logarithmic Functions  Derivatives Trigonometric and Inverse Trigonometric Functions Obtain the derivative of inverse trigonometric functions with implicit differentiation 1. Obtain the derivative of inverse sine function with implicit differentiation  2. Obtain the derivative of inverse cosine function with implicit differentiation Obtain the derivative of inverse cosine function from the derivative of inverse sine function 3. Obtain the derivative of inverse tangent function with implicit differentiation 4. Obtain the derivative of inverse cotangent function with implicit differentiation 5. Obtain the derivative of inverse secant function with implicit differentiation 6. Obtain the derivative of inverse cosecant function with implicit differentiation Obtain the derivative of inverse cosecant function from the de...
Read more

Vector Concepts

Image
Vector definition,addition subtraction and scalar multiplication Key examples for solid understanding of  Vector definition,addition subtraction and scalar multiplication   The scalar product(dot product, inner product) of 2 vectors   Vector projection and example Cross product of 2 vectors Lines and planes 4 key aspects about lines and planes: 1.Equations: vector form, parametric form and Cartesian form, conversion between different forms, find the equations(ie,give 2 points to find the equation of a line, give 3 points to find the equation of a plane, give 2 lines to find the equation of a plane, give a equation of a plane to find another plane which is parallel to the given plane). 2.Intersections: line and line, line and plane, plane and plane. Line and line could have no intersection because they are parallel or skew. To find the intersection between a line and plane, just plug the parametric format of the line to the...
Read more