## 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)

=

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