The Trigonometery functions in other presentation

In summary, the trigonometry functions, such as SinX, CosX, TanX, and CotX, can be presented using Log, Lan, multiplication, division, addition, subtraction, exponantion, and nth root operations. These functions can also be represented by infinite series and complex functions.
  • #1
DaniV
34
3
Can I present the trigonometry functions (such as SinX, CosX, TanX, CotX) by using only- Log, Lan, multiplication, division, addition, subtraction, exponantion, nth root operations?
 
Mathematics news on Phys.org
  • #3
Using complex functions, you can represent [itex]sin(x)=\frac{e^{ix}-e^{-ix}}{2i}\ and\ cos(x)=\frac{e^{ix}+e^{-ix}}{2}[/itex].
 

1. What are the basic trigonometric functions?

The basic trigonometric functions are sine, cosine, and tangent. These functions are used to relate the angles of a right triangle to the lengths of its sides.

2. How are the trigonometric functions related to each other?

The sine, cosine, and tangent functions are related to each other through the Pythagorean identity, which states that sin²x + cos²x = 1. This means that for any angle x, the square of the sine of x plus the square of the cosine of x will always equal 1.

3. What are the reciprocal trigonometric functions?

The reciprocal trigonometric functions are secant, cosecant, and cotangent. These functions are the reciprocals of the basic trigonometric functions, meaning that secant is the inverse of cosine, cosecant is the inverse of sine, and cotangent is the inverse of tangent.

4. How are the trigonometric functions used in real-world applications?

The trigonometric functions are used in a variety of real-world applications, such as navigation, engineering, and physics. For example, sine and cosine are used in GPS systems to calculate the position of an object, while tangent is used in bridge construction to determine the slope of a road or bridge.

5. What is the unit circle and how is it related to trigonometric functions?

The unit circle is a circle with a radius of 1 unit that is centered at the origin on a coordinate plane. It is used to visualize the relationships between trigonometric functions and angles. The values of sine, cosine, and tangent can be found by measuring the coordinates of points on the unit circle corresponding to specific angles.

Similar threads

Replies
4
Views
8K
Replies
10
Views
1K
Replies
1
Views
815
Replies
14
Views
1K
Replies
4
Views
253
Replies
9
Views
801
  • General Math
Replies
31
Views
6K
  • General Math
Replies
10
Views
12K
Replies
5
Views
1K
  • General Math
Replies
9
Views
1K
Back
Top