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NCERT Solutions for Class 12th Mathematics-I

 

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Chapter 2. Inverse Trigonometric Functions

Exercise 2.1

 

 

 

Exersise 2.1

Find the principal values of the following:

Ques.1. NCERT Solutions class 12 Maths Exercise 2.1 

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, the range of principal value of  is NCERT Solutions class 12 Maths Exercise 2.1

hance, Principal value of NCERT Solutions class 12 Maths Exercise 2.1 is 

Ques.2. NCERT Solutions class 12 Maths Exercise 2.1

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, range of the principal value of NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

hance, principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Ques3. NCERT Solutions class 12 Maths Exercise 2.1 

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, the range of principal value of NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

hance, Principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Ques.4. NCERT Solutions class 12 Maths Exercise 2.1

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, the range of principal value of NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

hance, Principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Ques.5. NCERT Solutions class 12 Maths Exercise 2.1

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, the range of principal value of NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

hance,  Principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Ques.6. NCERT Solutions class 12 Maths Exercise 2.1 

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, the range of principal value of NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

hance, Principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Ques.7. NCERT Solutions class 12 Maths Exercise 2.1

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 

Since, the range of principal value of  is NCERT Solutions class 12 Maths Exercise 2.1

hance, Principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Ques.8. NCERT Solutions class 12 Maths Exercise 2.1

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, the range of principal value of  is NCERT Solutions class 12 Maths Exercise 2.1

hance, Principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Ques.9. NCERT Solutions class 12 Maths Exercise 2.1 

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, the range of principal value of NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

hance, Principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Ques..10. NCERT Solutions class 12 Maths Exercise 2.1

Ans. Let NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

 NCERT Solutions class 12 Maths Exercise 2.1

Since, the range of principal value of NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

hance, Principal value of  NCERT Solutions class 12 Maths Exercise 2.1 is NCERT Solutions class 12 Maths Exercise 2.1

Find the value of the following:

Ques.11. NCERT Solutions class 12 Maths Exercise 2.1

Ans. NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1 = NCERT Solutions class 12 Maths Exercise 2.1

Ques.12. NCERT Solutions class 12 Maths Exercise 2.1 

Ans. NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

Ques.13. If  NCERT Solutions class 12 Maths Exercise 2.1 then:

A) NCERT Solutions class 12 Maths Exercise 2.1

(B) NCERT Solutions class 12 Maths Exercise 2.1

(C) NCERT Solutions class 12 Maths Exercise 2.1 

(D)NCERT Solutions class 12 Maths Exercise 2.1

Ans. By definition of principal value for NCERT Solutions class 12 Maths Exercise 2.1 NCERT Solutions class 12 Maths Exercise 2.1

hance, option (B) is correct.

Ques.14.  NCERT Solutions class 12 Maths Exercise 2.1 is equal to:

(A) NCERT Solutions class 12 Maths Exercise 2.1

(B) NCERT Solutions class 12 Maths Exercise 2.1

(C) NCERT Solutions class 12 Maths Exercise 2.1

(D) NCERT Solutions class 12 Maths Exercise 2.1 

Ans. NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

NCERT Solutions class 12 Maths Exercise 2.1

hance, option (B) is correct.

 

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