Limits of Trigonometric Functions
Limits of Trigonometric Functions..
Limits (Contd....)
Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose ..
Limits of Trigonometric Functions and Sandwich Theorem: for all x in some open interval containing c and suppose ..Trigonometric functions
Trigonometric functions are sinx, cosx, tanx, etc. The graph of these functions have been done in class X..
Trigonometric Functions
Unit Circle - The circle whose radius is 1 unit whose centre is the origin of a rectangular co-ordinate system is called the unit circle. Let q be any real number. Begin at A(1, 0) on the unit circle and measure along the circumference of arc length |l| units. If q > 0 measure the arc in the ant..
Unit Circle - The circle whose radius is 1 unit whose centre is the origin of a rectangular co-ordinate system is called the unit circle. Let q be any real number. Begin at A(1, 0) on the unit circle and measure along the circumference of arc length |l| units. If q > 0 measure the arc in the ant..Limitations of Dimensional Analysis
Limitations of Dimensional Analysis - Dimensional analysis has no information on dimensionless constants. If a quantity is dependent on trigonometric or exponential functions, this method cannot be used. In some cases, it is difficult to guess the factors while derivin..
Values of Trigonometric Functions
The Values of Trigonometric Functions of 90 o and 0 o are: cos90 o = 0, sin90 o = 1, tan90 o = Not defined, sec90 o = Not defined, cot90 o = 0, cosec90 o = 1, cos0 o = 1, sin0 o = 0, here cosec0 o and cot0 o are not defined, sec0 o = 1, tan0 o = ..
Values of Trigonometric Functions
Values of Trigonometric Functions of 30 o , 45 o , 60 o and 90 o - Let OA be the revolving ray starting from A. Let OA take the new position OP so that Draw PM perpendicular to OX and produce it to Q. Draw O..
Values of Trigonometric Functions of 30 o , 45 o , 60 o and 90 o - Let OA be the revolving ray starting from A. Let OA take the new position OP so that Draw PM perpendicular to OX and produce it to Q. Draw O..Inverse Trigonometric Functions
For x [-1, 1], if q is an angle whose sine is x, then we say that sine inverse x is q and write sin -1 x = q..
Some properties of inverse trigonometric functions
In the principle value branches, the following formulae holds: - sin -1 (sin x) = x - cos -1 (cos x) = x - tan -1 (tan x) = x - cos -1 (cot x) = x - sec -1 (secx) = x - cosec -1 (cosecx) = x - sin -1 (-x) = -sin -1 x - cos -1 (-x) = p - cos -1 x - t..
In the principle value branches, the following formulae holds: - sin -1 (sin x) = x - cos -1 (cos x) = x - tan -1 (tan x) = x - cos -1 (cot x) = x - sec -1 (secx) = x - cosec -1 (cosecx) = x - sin -1 (-x) = -sin -1 x - cos -1 (-x) = p - cos -1 x - t..Trigonometric Equation
A trigonometric equation is an equation involving the trigonometric functions of unknown angles. Example; sin x = 1/..
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