Inverse Trigonometric Functions ML Aggarwal ISC Class-12 Maths Solutions

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⁻¹x, x ≥ 1 or x ≤ −1

cos⁻¹(1/x) = sec⁻¹x, x ≥ 1 or x ≤ −1

tan⁻¹(1/x) = cot^–1x, 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

 

 

 

 

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Exe-2.1

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

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 Exe-2.2, 

Inverse Trigonometric Functions

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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

 

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

Return to :-  ML Aggarwal Solutions for ISC Class 12 Maths Vol-1

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