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RD SHARMA SOLUTIONS 3.1 INVERSE TRIGONOMETRIC FUNCTIONS /

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 1. Find the principal values of each of the following:- ☝ value of -root3/2 is Sin (-pye/3)    Sin inverse x = 1/sinx   answer:- -pye/3 2. Sin inverse (cos 2pye/3) Cos (2pye/3) is not in range -90 to +90   so value of cos 2pye/3 is Sin (-pye/6) Answer.= -pye/6 3. Sin inverse (root 3-1/2root2) 4. Sin inverse ( root 3+1/2 root2) 5. Sin inverse (n Cos 3pye/2)m

TRANSFORMATION FORMULAE / Sin(A+B) + Sin(A-B) = ? / SinC + SinD = ? / CotA + CotB = ?

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 INTRODUCTION:         In this blog, we will establish two sets of transformation formulae. One to transform the product of two sines or two cosines into the sum or difference of two sines and two cosines and the other to convert the sum or difference of two sines or two cosines in the product of two sines or two cosines or one sine and one cosine. These two sets of formulae are of fundamental importance and one should have through acquaintance with these formulae.   values of trigonometric functions at multiple and submultiple of an angle  INTRODUCTION:☝ In this blog, we will introduce the formulae expressing the values of trigonometric functions at multiple of x ie. 2x, 3x, 4x etc.......in terms of the values of trigonometric funcions at x in terms of the values at sub multiple of x ie. x/2, x/3, x/4.......etc👀

FORMULAS OF TRIGONOMETRIC FUNCTIONS / Sin(A+B) = ? / Sin(A-B) = ? / tan(A+B) = ?

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  INTRODUCTION:                     I n this blog, we shall derive formulae which will express the values of trigonometric functions at the sum or difference of two real numbers (or angles) in terms of the value of trigonometric functions at individual numbers (or angles).