Complete solutions of Ex 8.1 Class 10 Maths Chapter 8 with additional questions and answers from new NCERT syllabus textbook Class 10 Maths.

NCERT Maths Solutions for Chapter 8 Ex 8.1 Class 10 acts as the best resource during your learning and helps you score well in your board exams.

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1 are part of NCERT Solutions for Class 10 Maths. Here we have given NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1.

- Introduction to Trigonometry Class 10 Ex 8.1
- Introduction to Trigonometry Class 10 Ex 8.2
- Introduction to Trigonometry Class 10 Ex 8.3
- Introduction to Trigonometry Class 10 Ex 8.4

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 10 |

Subject |
Maths |

Chapter |
Chapter 8 |

Chapter Name |
Introduction to Trigonometry |

Exercise |
Ex 8.1 |

Number of Questions Solved |
11 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1

**Ex 8.1 Class 10 Maths Question 1.**

**In ∆ABC right angled at B, AB = 24 cm, BC = 7 cm. Determine:**

**(i)** sin A, cos A

**(ii)** sin C, cos C

**Solution:**

**Ex 8.1 Class 10 Maths **Question 2.

**In given figure, find tan P – cot R.**

**Solution:**

**Ex 8.1 Class 10 Maths Question 3.**

**If sin A = \(\frac { 3 }{ 4 }\) , calculate cos A and tan A.**

**Solution:**

**Ex 8.1 Class 10 Maths Question 4.**

**Given 15 cot A = 8, find sin A and sec A.**

**Solution:**

**Ex 8.1 Class 10 Maths Question 5.**

**Given sec θ = \(\frac { 13 }{ 12 }\) , calculate all other trigonometric ratios.**

**Solution:**

**Ex 8.1 Class 10 Maths Question 6.**

**If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.**

**Solution:**

**Ex 8.1 Class 10 Maths Question 7.**

**If cot θ = \(\frac { 7 }{ 8 }\), evaluate:**

**(i)** \(\frac { \left( 1+sin\theta \right) \left( 1-sin\theta \right) }{ \left( 1+cos\theta \right) \left( 1-cos\theta \right)}\)

**(ii)** cot²θ

**Solution:**

**Ex 8.1 Class 10 Maths Question 8.**

**If 3 cot A = 4, check whether \(\frac { 1-tan^{ 2 }A }{ 1+tan^{ 2 }A }\) = cos² A – sin² A or not.**

**Solution:**

**Ex 8.1 Class 10 Maths Question 9.**

**In triangle ABC, right angled at B, if tan A = \(\frac { 1 }{ \surd 3 }\), find the value of:**

**(i)** sin A cos C + cos A sin C

**(ii)** cos A cos C – sin A sin C

**Solution:**

**Ex 8.1 Class 10 Maths Question 10.**

**In ΔPQR, right-angled at Q, PR + QR = 25 cm and PQ = 5 cm. Determine the values of sin P, cos P and tan P.**

**Solution:**

**Ex 8.1 Class 10 Maths Question 11.**

**State whether the following statements are true or false. Justify your answer.**

**(i)** The value of tan A is always less than 1.

**(ii)** sec A = \(\frac { 12 }{ 5 }\) for some value of angle A.

**(iii)** cos A is the abbreviation used for the cosecant of angle A.

**(iv)** cot A is the product of cot and A.

**(v)** sin θ = \(\frac { 4 }{ 3 }\) for some angle.

**Solution:**

**(i) False,** because tan 60° = \(\sqrt { 3 } \) > 1.

**(ii) True,** because sec A ≥ 1

**(iii) False,** because cos A abbreviation is used for cosine A.

**(iv) False,** because the term cot A is single not a product.

**(v) False,** because -1 ≤ sin θ ≤ 1.

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