NCERT Solutions class 12 Maths Exercise 2.2 Ch 2 Inverse Trigonometric Functions


NCERT Solutions for Class 12 Maths Exercise 2.1 Chapter 2 Inverse Trigonometric Functions – FREE PDF Download

NCERT Class 12 Maths Ch 2 is one of the most important ones in the NCERT syllabus. Duly following NCERT Solutions for Class 12 Maths Chapter 2 ensures you that there will be no hindrance when you opt for more advanced branches of Maths. This is where CoolGyan comes in. Our free Class 12 inverse trigonometry solutions will help you understand the chapter thoroughly.

NCERT Solutions for Class 12 Maths Chapter 2 – Inverse Trigonometric Functions



Prove the following:

1. 

Ans. We know that: 
Putting 

 sin3θ=3sinθ4sin3θsin⁡3θ=3sin⁡θ−4sin3θ 

 

Putting ,

Proved.


2. 

 

Ans. We know that:  

Putting 

Putting ,

Proved.


3. 

 

Ans. L.H.S. =  

= R.H.S.

Proved.


4. 

 

Ans. L.H.S. =  

= R.H.S.

Proved.


Write the following functions in the simplest form:

 

5. 

Ans. Putting so that  


6. 

 

Ans. Putting so that  


7. 

 

Ans.  


8. 

 

Ans.  

Dividing the numerator and denominator by 

          [tan(xy)=tanxtany1+tanx.tany][tan⁡(x−y)=tan⁡x−tan⁡y1+tan⁡x.tan⁡y]


9. 

 

Ans. Putting  so that  


10. 

 

Ans.  

[Dividing numerator and denominator by ]

Putting so that 


Find the values of each of the following:

 

11. 

Ans.  


12. 

 

Ans.  


13. 

 

Ans. Putting and  


14. If then find the value of 

 

Ans. Given:  


15. If then find the value of 

 

Ans. Given:  

 

 


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

 

16. 

Ans.  


17. 

 

Ans.  


18. 

 

Ans. Putting and so that and  

Now, 1925−−−−−√=1625−−√=451−925=1625=45

And 

and tany=1coty=23tan⁡y=1cot⁡y=23


19.  is equal to:

 

(A) 

(B) 

(C) 

(D) 

Ans. 


Therefore, option (B) is correct. 


20. is equal to:

 

(A) 

(B) 

(C) 

(D) 1

Ans. 





Therefore, option (D) is correct. 


21. is equal to:

 

(A) 

(B) 

(C) 

(D) 

Ans. 






Therefore, option (B) is correct.