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

Get Free **NCERT Solutions for Class 10 Maths Chapter 8** Ex 8.1 Introduction to Trigonometry Class 10 Maths NCERT Solutions are extremely helpful while doing homework. Exercise 8.1 Class 10 Maths NCERT Solutions were prepared by Experienced ncert-books.in Teachers. Detailed answers of all the questions in **Chapter 8 Maths Class 10 Introduction to Trigonometry** Exercise 8.1 Provided in NCERT Textbook.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:

Question 2.

In given figure, find tan P – cot R.

Solution:

Question 3.

If sin A = , calculate cos A and tan A.

Solution:

Question 4.

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

Solution:

Question 5.

Given sec θ = , calculate all other trigonometric ratios.

Solution:

Question 6.

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

Solution:

Question 7.

If cot θ = , evaluate:

(i)

(ii) cot²θ

Solution:

Question 8.

If 3 cot A = 4, check whether = cos² A – sin² A or not.

Solution:

Question 9.

In triangle ABC, right angled at B, if tan A = , find the value of:

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

(ii) cos A cos C – sin A sin C

Solution:

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:

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 = 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 = for some angle.

Solution: