NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1 are part of NCERT Solutions for Class 12 Maths. Here we have given NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1.

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 12 |

Subject |
Maths |

Chapter |
Chapter 2 |

Chapter Name |
Inverse Trigonometric Functions |

Exercise |
Ex 2.1 |

Number of Questions Solved |
14 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 12 Maths Chapter 2 Inverse Trigonometric Functions Ex 2.1

**Ex 2.1 Class 12 Maths Question 1-10.**

**Find the principal values of the following:**

**(1) **

**(2) **

**(3) **

**(4) **

**(5) **

**(6) **

**(7) **

**(8)**

**(9) **

**(10) **

**Solution:**

(1) Let = y

∴

the range of principal value of sin^{-1} is

**Ex 2.1 Class 12 Maths Question 11-12.**

**Find the principal values of the following:**

**(11) **

**(12) **

**Solution:**

(11)

Now tan^{-1} (1) =

∴the range of principal value branch of

**Ex 2.1 Class 12 Maths Question 13.**

**If sin ^{-1} x = y, then**

**(a) 0 ≤ y ≤ π**

**(b)**

**(c) 0 < y < π**

**(d)**

**Solution:**

The range of principal value of sin is

∴ if sin

^{-1}x = y then

Option (b) is correct

**Ex 2.1 Class 12 Maths Question 14.**

** is equal to**

**(a) π**

**(b) **

**(c) **

**(d) **

**Solution:**

∴ Principal values of sec^{-1} is [0,π] –

Option (b) is correct

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