NCERT Solutions for Class 12 Maths Maths Part-1 Chapter 2

Inverse Trigonometric Functions Class 12

Chapter 2 Inverse Trigonometric Functions Exercise 2.1, 2.2, miscellaneous Solutions

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Exercise 2.1 : Solutions of Questions on Page Number : 41

Q1 :  

Find the principal value of


Answer :

Let sin-1 Then sin y=

We know that the range of the principal value branch of sin - 1is

and sin

Therefore, the principal value of

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Q2 :  

Find the principal value of


Answer :

We know that the range of the principal value branch of cos - 1is

.

Therefore, the principal value of.

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Q3 :  

Find the principal value of cosec-1(2)


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Q4 :  

Find the principal value of


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Q5 :  

Find the principal value of


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Q6 :  

Find the principal value of tan-1(-1)


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Q7 :  

Find the principal value of


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Q8 :  

Find the principal value of


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Q9 :  

Find the principal value of


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Q10 :  

Find the principal value of


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Q11 :  

Find the value of


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Q12 :  

Find the valueof


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Q13 :  

Find the value of if sin - 1 x = y, then

(A) (B)

(C) (D)


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Q14 :  

Find the value of is equal to

(A) π (B) (C) (D)


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Exercise 2.2 : Solutions of Questions on Page Number : 47

Q1 :  

Prove


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Q2 :  

Prove


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Q3 :  

Prove


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Q4 :  

Prove


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Q5 :  

Write the function in the simplest form:


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Q6 :  

Write the function in the simplest form:


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Q7 :  

Write the function in the simplest form:


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Q8 :  

Write the function in the simplest form:


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Q9 :  

Write the function in the simplest form:


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Q10 :  

Find the value of


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Q11 :  

Find the value of


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Q12 :  

Find the value of


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Q13 :  

If, then find the value of x.


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Q14 :  

If, then find the value of x.


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Q15 :  

Find the values of


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Q16 :  

Find the values of


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Q17 :  

Find the values of


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Q18 :  

Find the values of is equal to

(A) (B) (C) (D)


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Q19 :  

Find the values of is equal to

(A) (B) (C) (D)


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Q20 :  

Find the values of is equal to

(A) π (B) (C) 0 (D)


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<< Previous Chapter 1 : Relations and Functions Next Chapter 3 : Matrices >>

Exercise Miscellaneous : Solutions of Questions on Page Number : 51

Q1 :  

Find the value of


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Q2 :  

Find the value of


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Q3 :  

Prove


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Q4 :  

Prove


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Q5 :  

Prove


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Q6 :  

Prove


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Q7 :  

Prove


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Q8 :  

Prove


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Q9 :  

Prove


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Q10 :  

Prove


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Q11 :  

Prove [Hint: putx = cos 2θ]


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Q12 :  

Prove


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Q13 :  

Solve


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Q14 :  

Solve


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Q15 :  

Solve


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Q16 :  

Solveis equal to

(A) (B) (C) (D)


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Q17 :  

Solve, then x is equal to

(A) (B) (C) 0 (D)


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Q18 :  

Solveis equal to

(A) (B). (C) (D)


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<< Previous Chapter 1 : Relations and Functions Next Chapter 3 : Matrices >>

Maths Part-1 - Maths : CBSE NCERT Exercise Solutions for Class 12th for Inverse Trigonometric Functions ( Exercise 2.1, 2.2, miscellaneous ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.

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