 ## Book: RS Aggarwal - Mathematics

### Chapter: 4. Inverse Trigonometric Functions

#### Subject: Maths - Class 12th

##### Q. No. 2 of Exercise 4A

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##### Find the principal value of :(i) (ii) (iii) (iv) (v) (vi) (i) Let  [Formula: sin-1(-x) = -sin-1 x ] [We know which value of x when put in this expression will give us this result] (ii) [ Formula: cos-1(-x) = π – cos-1 x]

Let  [We know which value of x when put in this expression will give us this result] Putting this value back in the equation (iii) Let  [Formula: tan-1(-x) = - tan-1 (x)] [We know which value of x when put in this expression will give us this result] (iv) …(i) [ Formula:sec-1(-x) = π– sec-1 (x) ]

Let  [We know which value of x when put in this expression will give us this result] Putting the value in (i) (v) Let  [ Formula: cosec-1(-x) = -cosec-1 (x) ]  (vi) … (i)

Let  [We know which value of x when put in this expression will give us this result] Putting in (i) = 1

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