by Rahul Anand | May 12, 2023 | TRIGONOMETRY
The trigonometric functions can be described on an x-y coordinate plane (Euclidean plane) using a circle of radius 1 unit and cutting a sector that subtends an angle θ at the centre. Refer to the diagram below for details.
by Rahul Anand | May 12, 2023 | MATHEMATICS
By definition, L (length of arc) = ( \dfrac { \mathrm{θ_{deg} } } {360} ) × Circumference (arc length is proportional to angle, one complete arc subtends 360° at center) Also, Circumference = 2 𝛑 r Hence, L = ( \dfrac { \mathrm{θ_{deg} } } {360} ) × 2 𝛑 r ...
by Rahul Anand | May 12, 2023 | SHORT NOTES
Radian is the SI unit to measure the angle subtended by an arc of a circle. It is the measurement of the angle subtended by an arc of a circle whose length is equal to the radius of the circle. θ (in radians) = \( \dfrac { \mathrm{length \ \ of \ \ arc} } {...
by Rahul Anand | May 11, 2023 | MATHEMATICAL TERMS
A number not divisible by 2 is called an odd number. Any number whose unit digit(last digit) is either 1,3,5,7 or 9 is an odd number. The set of all odd numbers is represented as Odd numbers = { 2n+1: n ∈ Z } where Z is the set of all integers. When an even...
by Rahul Anand | May 11, 2023 | MATHEMATICAL TERMS
A number divisible by 2 is called an even number. All numbers whose unit digit(last digit) is either 0,2,4,6 or 8 is an even numbers. The set of all even numbers is represented as follows: Even numbers = { 2n: n ∈ Z } where Z is the set of all integers. Zero is...
