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Circular Functions
The circular functions are functions of an angle. They are important in the study of triangles and modeling periodic phenomena, among many other applications. Trigonometric functions are commonly defined as ratios of two sides of a right triangle contai..
Identical properties of circular functions and trigonometric functions
\ The Circular function of a real number q and the trigonometric function for the angle q c are same. The identities for circular functions of real numbers hold for trigonometric functions of angle q..
Function Solved Examples
The arrow diagram represents a relation from set A to set B. (i) Represent the relation in roster form. (ii) Is this relation a function? Give reason for your answer. (i) {(1, 2), (2, 4), (5, 2), (3, 10), (4, 10)} (ii) Yes it is a function. Every first element is mapped a..
Which of the following represents the volume V of a right circular co..
Which of the following represents the volume V of a right circular cone as a function of the radius r of its circular base, when the height of the cone is twice the radius of the base circle? => 2 π r 3 or 1 3 π r 3 or 2 3 π r 3 or 4 3 π r 3..
Trigonometric Functions
The circle whose radius is 1 unit whose centre is the origin of a rectangular co-ordinate system is called the unit circle. 1. cos q = x. 2. sin q = y. 3. tan q = y/x. 4. sec q = 1/x. 5. cosec q = 1/y. 6. cot q = x/y. The six functions of q defined by the above equation are..
Symmetric Functions
We thus observe, without actually solving the quadratic equation (a) We can find the value of every symmetric function involving the roots of the equation in terms of the coefficients of the equation. (b) We can find a quadratic equation whose roots are any one of the following ..
Circular Motion
An object moving along a circular track with uniform speed is an example for a non - uniform motion because the direction of motion of the object goes on changing at every instant of tim..
Circular Motion
non uniform motion covered by runner in hexagonal track Circular Motion - In the example discussed under the topic uniform and non-uniform motion we have classified motion along circular track as an example of non-uniform motion. Let us now see why circular motion is considered as non-uniform motion. The figure shows an ath..
Circular Permutations
When things are arranged in places along a line with first and last place, they form a linear permutation. So far we have dealt only with linear permutations. When things are arranged in places along a closed curve or a circle, in which any place may be regarded as the first or last place, th..
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