Add to ORKGAbstract: The main purpose of this paper is to use the idea of finding the unlimited integration of the product of powers of the (sinz) and (cosz)-functions, and the product of powers of the (tanz) and (secz)-functions to derive tow trigonometrically identities
ABSTRACT. In this paper the author obtains new trigonometric identities of the form (p-1)(p,2) (1-co...
Concerning the roots of trigonometric integrals G. P61ya (see references at the end of the paper) ha...
De Moivre's theorem, along with the binomial theorem, can be used to expand functions like cos(nx) o...
The paper presents original methods of calculating integrals of selected trigonometric rational func...
Integrals whose integrand consists of products of sin and cos with themselves or each other are eval...
It will be useful to memorize sin θ, cos θ, tan θ values for θ = 0, pi/3, pi/4, pi/2 and pi±θ, 2pi−θ...
As is known, it is an important factor in the development of the independent thinking of the student...
Applies the substitution two examples one involving the integral of sin and another one involving th...
The article shows that the system of the functional equations $S(x+y)=S(x)C(y)+S(y)C(x),\,C(x+y)=C(x...
A more difficult example of integrating a function that is a product of even powers of sin x or cos
An example of integrating a function that is a product of odd powers of sinh x or cosh
In the short note, by using mathematical induction and infinite product representations of the cosin...
By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power s...
An example of integrating a function that is a product of odd powers of sin x and cos
Demonstrates an example of integrating a function that is a product of even powers of sinx and cos ...
ABSTRACT. In this paper the author obtains new trigonometric identities of the form (p-1)(p,2) (1-co...
Concerning the roots of trigonometric integrals G. P61ya (see references at the end of the paper) ha...
De Moivre's theorem, along with the binomial theorem, can be used to expand functions like cos(nx) o...
The paper presents original methods of calculating integrals of selected trigonometric rational func...
Integrals whose integrand consists of products of sin and cos with themselves or each other are eval...
It will be useful to memorize sin θ, cos θ, tan θ values for θ = 0, pi/3, pi/4, pi/2 and pi±θ, 2pi−θ...
As is known, it is an important factor in the development of the independent thinking of the student...
Applies the substitution two examples one involving the integral of sin and another one involving th...
The article shows that the system of the functional equations $S(x+y)=S(x)C(y)+S(y)C(x),\,C(x+y)=C(x...
A more difficult example of integrating a function that is a product of even powers of sin x or cos
An example of integrating a function that is a product of odd powers of sinh x or cosh
In the short note, by using mathematical induction and infinite product representations of the cosin...
By using two identities and two inequalities relating to Bernoulli’s and Euler’s numbers and power s...
An example of integrating a function that is a product of odd powers of sin x and cos
Demonstrates an example of integrating a function that is a product of even powers of sinx and cos ...
ABSTRACT. In this paper the author obtains new trigonometric identities of the form (p-1)(p,2) (1-co...
Concerning the roots of trigonometric integrals G. P61ya (see references at the end of the paper) ha...
De Moivre's theorem, along with the binomial theorem, can be used to expand functions like cos(nx) o...