Trigonometric Functions-FAQs
What are Trigonometric Functions in Maths?
Trigonometric Functions are the function used in trigonometry these functions gives the relation between, the angles and the sides of the triangle.
What are Six Basic Trigonometric Functions?
The six trigonometric functions are,
- sin x
- cos x
- tan x
- cosec x
- sec x
- cot x
What are Pythagorean Identities of Trigonometric Function?
Pythagorean Identities of Trigonometric Function are,
- sin2θ + cos2θ = 1
- 1 + tan2θ = sec2θ
- 1 + cot2θ = cosec2θ
What are Inverse Trigonometric Functions?
Inverse Trigonometry Functions as the name suggest are the inverse of the trigonometric functions. We can explain this as suppose,
sin x = a
Then inverse of sin function is sin-1 and its value is defined as,
sin-1(a) = x
Similarly, inverse function of all the trigonometric functions can be easily calculated.
What are Applications of Trigonometric Functions?
Trigonometric functions are very useful and they are used in various branches of mathematics, and physics for various purposes. They are used in Coordinate Geometry, Complex Analysis, etc. They are also used in Astronomy, Wave Physics, etc.
What is Domain and Range of Trigonometric Functions?
The Domain of a trigonometric function is the value of θ for which the function has a real value.
Range of a trigonometric Function is the interval in which the value of the trigonometric function exists.
Is it Important to study Trigonometric Functions for Class 11?
Yes, Trigonometric Functions is very important for Class 10 as well as Class 11 Students. As it forms a base to study other units including Calculus and Geometry.
What are 3 Basic Trig Function?
The three basic trig functions are,
- Sine Function (sin x)
- Cosine Function (cos x)
- Tangent Function (tan x)
Trigonometric Functions
Trigonometric Functions, often simply called trig functions, are mathematical functions that relate the angles of a right triangle to the ratios of the lengths of its sides. These Trigonometric functions are fundamental in mathematics for units like Calculus and Geometry and have wide-ranging applications in science, engineering, and various other fields.
In this article, we will in detail about trigonometric functions, their domain and range, and other related facts.
Table of Content
- What are Trigonometric Functions?
- Six Trigonometric Functions
- Trigonometric Functions Formulas
- Trigonometric Functions Values
- Trigonometric Functions in Four(4) Quadrants
- Graphs of Trigonometric Functions
- Trigonometric Functions Identities
- Domain and Range of Trigonometric Functions
- Derivative of Trigonometric Functions
- Integration of Trigonometric Functions
- Inverse Trigonometric Functions
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