Ex 2.2, 7 - Chapter 2 Class 12 Inverse Trignometry - tan-1 - Ex 2.2

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

Transcript

Ex 2.2, 7 Write the function in the simplest form: tan-1 ( ((1 cos x)/(1 + cos x ))), x < Lets first calculate value of 1 cos x & 1 + cos x tan-1 ( ((1 cos x)/(1 + cos x ))) = tan-1 ( ((2 sin2 x/2 )/(2 cos2 x/2))) = tan-1 ( ((sin2 x/2 )/(cos2 x/2))) = tan-1 ( (tan2 /2 )) = tan-1 (tan /2 ) = /2 Hence, tan-1 ( ((1 cos x)/(1 + cos x ))) = /2

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