Inverse trigonometric functions (principal value only) and their elementary properties

Inverse trigonometric functions are functions that return the angle whose trigonometric ratio is a given value. Here are the principal value only of inverse trigonometric functions and their elementary properties: It is important to note that inverse trigonometric functions are not always unique, as they depend on the quadrant in which the angle lies. For…

General solution of trigonometric equations

Trigonometric equations are equations that involve trigonometric functions such as sine, cosine, tangent, etc. Solving trigonometric equations involves finding values of the variable that make the equation true. The general strategy for solving trigonometric equations is to use algebraic techniques to transform the equation into an equivalent equation that is easier to solve. Here are…

Formulae involving multiple and sub-multiple angles

Here are some of the commonly used trigonometric formulas involving multiple and sub-multiple angles: These formulas can be used to simplify trigonometric expressions, solve equations, and prove identities. What is Required Formulae involving multiple and sub-multiple angles Here are some of the commonly used required trigonometric formulas involving multiple and sub-multiple angles: These formulas can…

Addition and subtraction formulae

Trigonometry addition and subtraction formulas are used to find the trigonometric functions of the sum or difference of two angles. There are several formulas for each of the six trigonometric functions: sine, cosine, tangent, cosecant, secant, and cotangent. Here are the trigonometry addition and subtraction formulas: sin(A+B) = sin(A)cos(B) + cos(A)sin(B) sin(A-B) = sin(A)cos(B) –…

Their periodicity and graphs

Trigonometry is a branch of mathematics that deals with the study of relationships involving angles and the sides of triangles. It has many practical applications in fields such as engineering, physics, and astronomy. One of the most important aspects of trigonometry is the periodicity of the trigonometric functions. The six trigonometric functions are sine, cosine,…

Trigonometric functions

Trigonometric functions are mathematical functions that relate the angles of a right triangle to the lengths of its sides. The most commonly used trigonometric functions are sine (sin), cosine (cos), and tangent (tan). These functions can be defined in terms of the sides of a right triangle as follows: In addition to these three functions,…