TRIPURA Class 11-science Maths Trigonometric Functions
Degree Measure and Radian MeasureUnderstand the concept of negative and positive angles. Conversion of degree measure to radian measure of angles and vice versa.
Graphs of Trigonometric FunctionsDefine the domain, period and range of the trigonometric functions and plot graph.
Trigonometric EquationsDistinguish between general and principlal solutions. Find solutions of trigonometric eq. of the form sinx, cosx and tan x = 0 and asin x + bcos x = c.
Sign of Trigonometric FunctionsValues of trigonometric ratios of angles greater than 90 degree using the periodicity and sign convention followed by various trigonometric functions.
Multiple Angle FormulaeReview of trigonometric formulae and solve problems. Derive the expressions for triple angle and half angle formulae of various Functions.
Advanced Trigonometric FormulaeDerive expressions for trigonometric functions of tan(x+y) , cot(x+y) ,sin 2x, cos2x and tan2x. Express sin2x cos2x and tan 2x in terms of tan x.
Sum and Difference FormulaeDerive the formula of sin A +/- sin B, cos A +/- cos B and 2sinxcosy, 2sinxsiny, 2cosxcosy, 2cosxsiny and their application in simplifying the identities
Basic Trigonometric FormulaeDerive and apply the basic formulae of sine and cosine functions like sin(x+y), sin(x-y), cos(x+y), cos(x-y).
Introduction to Trigonometric FunctionsFundamental trigonometric identities and problems based on them. Sign Convention of trigonometric ratios in various quadrants
Sine and Cosine LawsSine and Cosine laws