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Solutions ⇒ Class 12th ⇒ Mathematics-I ⇒ 2. Inverse Trigonometric Functions

Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study

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Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study

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Chapter 2 Mathematics-I class 12

Exercise 2.2 class 12 Mathematics-I Chapter 2. Inverse Trigonometric Functions

2. Inverse Trigonometric Functions

| Exercise 2.2 |

Solutions 2. Inverse Trigonometric Functions - Exercise 2.2 | Class 12 Mathematics-I - Toppers Study


Exersice 2.2

Prove the following:

Ques.1. 

Ans. We know that: 

Putting 

Putting ,

hance, proved.

Ques.2. 

Ans. We know that {}

Putting 

Putting ,

hance. proved.

Ques.3. 

Ans. L.H.S.

= R.H.S.

hance, proved.

Ques.4. 

Ans. L.H.S.

= R.H.S.

hance, proved.

Write the following functions in the simplest form:

Ques.5. 

Ans. Putting so that 

=

Ques.6. 

Ans. Putting so that 

Ques.7. 

Ans. 

Ques.8. 

Ans. 

Dividing the numerator and denominator by 

Ques.9. 

Ans. Putting  so that 

Ques.10. 

Ans. 

[Dividing numerator and denominator by ]

Putting so that 

Find the values of each of the following:

Ques.11. 

Ans. 

Ques.12. 

Ans. 

Ques.13

Ans. Putting and 

Ques.14. If then find the value of 

Ans. Given

Ques.15. If then find the value of 

Ans. Given: 

 

 

Find the values of each of the expressions in Exercises 16 to 18.

Ques.16. 

Ans. 

 = 

Ques17. 

Ans. 

Ques.18. 

Ans. Putting and ;

so that and 

Now, 

And and 

Ques.19.  is equal to:

(A) 

(B) 

(C) 

(D) 

Ans. 

hance, option (B) is correct.

Ques.20. is equal to:

(A) 

(B) 

(C) 

(D) 1

Ans. 

hance, option (D) is correct.

Ques.21. is equal to:

(A) 

(B) 

(C) 

(D) 

Ans. 

hance, option (B) is correct.

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