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**Exercise 3.1 : ** Solutions of Questions on Page Number : **54**

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**Exercise 3.2 : ** Solutions of Questions on Page Number : **63**

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**Exercise 3.3 : ** Solutions of Questions on Page Number : **73**

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**Exercise 3.4 : ** Solutions of Questions on Page Number : **78**

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**Exercise Miscellaneous : ** Solutions of Questions on Page Number : **81**

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**Popular Articles**

Q1 :
**
**

Find the radian measures corresponding to the following degree measures:

(i) 25° (ii) - 47° 30' (iii) 240° (iv) 520°

**Answer :**

(i) 25°

We know that 180° = π radian

(ii) â€“47° 30'

â€“47° 30' = degree [1° = 60']

degree

Since 180° = π radian

(iii) 240°

We know that 180° = π radian

(iv) 520°

We know that 180° = π radian

Answer needs Correction? Click Here

Q2 :
**
**

Find the degree measures corresponding to the following radian measures

.

(i) (ii) â€“ 4 (iii) (iv)

**Answer :**

(i)

We know that π radian = 180°

(ii) â€“ 4

We know that π radian = 180°

(iii)

We know that π radian = 180°

(iv)

We know that π radian = 180°

Answer needs Correction? Click Here

Q3 :
**
**

A wheel makes 360 revolutions in one minute. Through how many radians does it turn in one second?

**Answer :**

Q4 :
**
**

Find the degree measure of the angle subtended at the centre of a circle of radius 100 cm by an arc of length 22 cm.

**Answer :**

Q5 :
**
**

In a circle of diameter 40 cm, the length of a chord is 20 cm. Find the length of minor arc of the chord.

**Answer :**

Q6 :
**
**

If in two circles, arcs of the same length subtend angles 60° and 75° at the centre, find the ratio of their radii.

**Answer :**

Q7 :
**
**

Find the angle in radian though which a pendulum swings if its length is 75 cm and the tip describes an arc of length

(i) 10 cm (ii) 15 cm (iii) 21 cm

**Answer :**

Q1 :
**
**

Find the values of other five trigonometric functions if
,
*x* lies in third quadrant.

**Answer :**

Q2 :
**
**

Find the values of other five trigonometric functions if
,
*x* lies in second quadrant.

**Answer :**

Q3 :
**
**

Find the values of other five trigonometric functions if
,
*x* lies in third quadrant.

**Answer :**

Q4 :
**
**

Find the values of other five trigonometric functions if
,
*x* lies in fourth quadrant.

**Answer :**

Q5 :
**
**

Find the values of other five trigonometric functions if
,
*x* lies in second quadrant.

**Answer :**

Q6 :
**
**

Find the value of the trigonometric function sin 765°

**Answer :**

Q7 :
**
**

Find the value of the trigonometric function cosec (-1410°)

**Answer :**

Q8 :
**
**

Find the value of the trigonometric function

**Answer :**

Q9 :
**
**

Find the value of the trigonometric function

**Answer :**

Q10 :
**
**

Find the value of the trigonometric function

**Answer :**

Q5 :
**
**

Find the value of:

(i) sin 75°

(ii) tan 15°

**Answer :**

Q10 :
**
**

Prove that sin (*n* + 1)*x* sin (*n* + 2)*x*
+ cos (*n* + 1)*x* cos (*n* + 2)*x* = cos
*x*

**Answer :**

Q12 :
**
**

Prove that sin^{2} 6*x* -
sin^{2} 4*x* = sin 2*x* sin 10*x*

**Answer :**

Q13 :
**
**

Prove that cos^{2} 2*x* -
cos^{2} 6*x* = sin 4*x* sin 8*x*

**Answer :**

Q14 :
**
**

Prove that sin 2*x* + 2sin 4*x* + sin 6*x* =
4cos^{2} *x* sin 4*x*

**Answer :**

Q15 :
**
**

Prove that cot 4*x* (sin 5*x* + sin 3*x*) = cot
*x* (sin 5*x* - sin 3*x*)

**Answer :**

Q22 :
**
**

Prove that cot *x* cot 2*x* - cot
2*x* cot 3*x* - cot 3*x* cot
*x* = 1

**Answer :**

Q24 :
**
**

Prove that cos 4*x* = 1 -
8sin^{2} *x* cos^{2} *x*

**Answer :**

Q25 :
**
**

Prove that: cos 6*x* = 32 cos^{6} *x*
- 48 cos^{4} *x* + 18
cos^{2} *x* - 1

**Answer :**

Q1 :
**
**

Find the principal and general solutions of the equation

**Answer :**

Q2 :
**
**

Find the principal and general solutions of the equation

**Answer :**

Q3 :
**
**

Find the principal and general solutions of the equation

**Answer :**

Q4 :
**
**

Find the general solution of cosec *x* =
-2

**Answer :**

Q5 :
**
**

Find the general solution of the equation

**Answer :**

Q6 :
**
**

Find the general solution of the equation

**Answer :**

Q7 :
**
**

Find the general solution of the equation

**Answer :**

Q8 :
**
**

Find the general solution of the equation

**Answer :**

Q9 :
**
**

Find the general solution of the equation

**Answer :**

Q2 :
**
**

Prove that: (sin 3*x* +
sin *x*) sin
*x* + (cos 3*x*
- cos
*x*) cos *x*
= 0

**Answer :**

Q8 :
**
**

, *x* in quadrant
II

**Answer :**

Q9 :
**
**

Find for , *x* in quadrant
III

**Answer :**

Q10 :
**
**

Find for , *x* in quadrant
II

**Answer :**

Maths - Maths : CBSE ** NCERT ** Exercise Solutions for Class 11th for ** Trigonometric Functions ** ( Exercise 3.1, 3.2, 3.3, 3.4, miscellaneous ) will be available online in PDF book form soon. The solutions are absolutely Free. Soon you will be able to download the solutions.

- Maths : Chapter 4 - Principle of Mathematical Induction Class 11
- Maths : Chapter 5 - Complex Numbers and Quadratic Equations Class 11
- Maths : Chapter 2 - Relations and Functions Class 11
- Maths : Chapter 1 - Sets Class 11
- Maths : Chapter 9 - Sequences and Series Class 11
- Maths : Chapter 6 - Linear Inequalities Class 11
- Maths : Chapter 7 - Permutations and Combinations Class 11
- Maths : Chapter 13 - Limits and Derivatives Class 11
- Maths : Chapter 8 - Binomial Theorem Class 11

Exercise 3.1 |

Question 1 |

Question 2 |

Question 3 |

Question 4 |

Question 5 |

Question 6 |

Question 7 |

Exercise 3.2 |

Question 1 |

Question 2 |

Question 3 |

Question 4 |

Question 5 |

Question 6 |

Question 7 |

Question 8 |

Question 9 |

Question 10 |

Exercise 3.4 |

Question 1 |

Question 2 |

Question 3 |

Question 4 |

Question 5 |

Question 6 |

Question 7 |

Question 8 |

Question 9 |

Exercise Miscellaneous |

Question 1 |

Question 2 |

Question 3 |

Question 4 |

Question 5 |

Question 6 |

Question 7 |

Question 8 |

Question 9 |

Question 10 |