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

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Textbook | NCERT |

Board | CBSE |

Category | NCERT Solutions |

Class | Class 10 |

Subject | Maths |

Chapter | Chapter 8 |

Exercise | Class 10 Maths Chapter 8 Introduction to Trigonometry Exercise 8.1 |

Number of Questions Solved | 11 |

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

**NCERT TEXTBOOK EXERCISES**

**Exercise 8.1 Class 10 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:**

**Class 10 Ex 8.1 Question 2. In given figure, find tan P – cot R.**

**Solution:**

**Trigonometry Class 10 Question 3. If sin A = 3/4 , calculate cos A and tan A.**

**Solution:**

sin A = 3/4

sin A = BC/AC = sin A = 3/4

Let BC = 3k and AC = 4k

**Ex 8.1 Class 10 Question 4. Given 15 cot A = 8, find sin A and sec A.**

**Solution:**

**Class 10 Trigonometry Ex 8.1 Question 5. Given sec θ = 13/12 , calculate all other trigonometric ratios.**

**Solution:**

**Ex 8.1 Class 10 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 Question 7. If cot θ = 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:**

**Trigonometry NCERT Class 10 Ex 8.1 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 Solutions Question 9. In triangle ABC, right angled at B, if tan A = 1/√3, find the value of:**

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

(ii) cos A cos C – sin A sin C

**Solution:**

**Class 10 Ex 8.1 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:**

**NCERT Solutions For Class 10 Maths Chapter 8 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 = 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 = 4/3 for some angle.

**Solution:**

(i) tan 60° = √3 , Since √3 > 1. **(False)**

(ii) sec A is always ≥ 1. **(True)**

(iii) cos A is the abbreviation for cosine A. **(False)**

(iv) cot without ∠A is meaningless. **(False)**

(v) sin θ can never be greater than 1.

∴ sin θ = P/H , hypotenuse is always greater than other two sides. **(False)**

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

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