Inverse Trigonometric Functions ML Aggarwal ISC Class-12 Maths Solutions Chapter-2. Step by step Solutions of ML Aggarwal ISC Mathematics Class-12 Exercise 2.1, Exe 2.2 And Exe 2.3 With Chapter Test Questions. Visit official Website **CISCE** for detail information about ISC Board Class-12 Mathematics.

## Inverse Trigonometric Functions ML Aggarwal ISC Class-12 Maths Solutions Ch-2

Board | ISC |

Class | 12 |

Subject | Mathematics |

Chapter-2 | Inverse Trigonometric Functions |

Session | 2024-25 |

Topics | Solutions of ML Aggarwal |

### Inverse Trigonometric Functions

**Basics Concepts: ** the domain and range of trigonometric functions.

sine function, i.e., sine : R → [– 1, 1]

cosine function, i.e., cos : R → [– 1, 1]

tangent function, i.e., tan : R – { x : x = (2n + 1)π/2, n ∈ Z} →R

cotangent function, i.e., cot : R – { x : x = nπ, n ∈ Z} →R

secant function, i.e., sec : R – { x : x = (2n + 1)π/2, n ∈ Z} →R – (– 1, 1)

cosecant function, i.e., cosec : R – { x : x = nπ, n ∈ Z} →R – (– 1, 1)

### Properties of Inverse Trigonometric Functions

Some properties of inverse trigonometric functions are listed below:

sin^{−1}(1/x) = cosec^{−1}x, x ≥ 1 or x ≤ −1

cos^{−1}(1/x) = sec^{−1}x, x ≥ 1 or x ≤ −1

tan^{−1}(1/x) = cot^{–1}x, x > 0

(i) sin^{–1}(–x) = – sin^{–1} x, x ∈ [– 1, 1]

(ii) tan^{–1}(–x) = – tan^{–1} x, x ∈ R

(iii) cosec^{–1}(–x) = – cosec^{–1} x, | x | ≥ 1

(i) cos^{–1}(–x) = π – cos^{–1} x, x ∈ [– 1, 1]

(ii) sec^{–1}(–x) = π – sec^{–1} x, | x | ≥ 1

(iii) cot^{–1}(–x) = π – cot^{–1} x, x ∈ R

(i) sin^{–1} x + cos^{–1} x = π/2, x ∈ [– 1, 1]

(ii) tan^{–1} x + cot^{–1} x = π/2, x ∈ R

(iii) cosec^{–1} x + sec^{–1} x = π/2, |x| ≥ 1

**Exe-2.1**

Inverse Trigonometric Functions ISC Class-12 Maths Solutions Chapter-2

** ****Exe-2.2, **

Inverse Trigonometric Functions

**Exe-2.3**

Inverse Trigonometric Functions ISC Class-12 Maths Solutions Chapter-2

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**Chapter Test **

Inverse Trigonometric Functions ML Aggarwal ISC Class-12 Maths Solutions Chapter-2

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