Ex 2.2, 8 - Chapter 2 Class 12 Inverse - tan-1 (cos x - sin x) - Ex 2.2

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  1. Chapter 2 Class 12 Inverse Trigonometric Functions
  2. Serial order wise

Transcript

Ex 2.2, 8 Write the function in the simplest form: tan-1 (cos x sin x /cos x + sin x ), 0< x < tan-1 (cos x sin x /cos x + sin x ) Dividing cos x inside = tan-1 (((cos sin x)/cos )/((cos + sin x)/cos )) = tan-1 (((cos x)/cos x (sin x)/cos x )/((cos x)/cos x + (sin x)/cos x )) = tan-1 ((1 tan x)/(1 + tan x )) = tan-1 ((1 tan x)/(1 + 1 . tan x )) = tan-1 ((tan /4 tan )/(1 + tan /4 . tan )) = tan-1 (tan ( /4 )) = /4 x

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