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.

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

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

**Solution:**

sin A = \(\frac { 3 }{ 4 }\)

sin A = \(\frac { BC }{ AC }\) = sin A = \(\frac { 3 }{ 4 }\)

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 = \(\frac { 13 }{ 12 }\) , 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 = \(\frac { 7 }{ 8 }\), 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:**

**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 = \(\frac { 1 }{ \surd 3 }\), find the value of:

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

(ii) cos A cos C – sin A sin C

**Solution:**

**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 = \(\frac { 12 }{ 5 }\) 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) 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 = \(\frac { P }{ H }\) , hypotenuse is always greater than other two sides. **(False)**

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