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 for Ex 8.1 Class 10 Maths Question 1

Solution for Ex 8.1 Class 10 Maths Question 1
 

Ex 8.1 Class 10 Maths Question 2.

In given figure, find tan P – cot R.

Solution for Ex 8.1 Class 10 Maths Question 2

Solution for Ex 8.1 Class 10 Maths Question 2
 

Ex 8.1 Class 10 Maths Question 3.

If sin A , calculate cos A and tan A.

Solution for Ex 8.1 Class 10 Maths Question 3

Solution for Ex 8.1 Class 10 Maths Question 3
 

Ex 8.1 Class 10 Maths Question 4.

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

Solution for Ex 8.1 Class 10 Maths Question 4

Solution for Ex 8.1 Class 10 Maths Question 4
 

Ex 8.1 Class 10 Maths Question 5.

Given sec θ  calculate all other trigonometric ratios.

Solution for Ex 8.1 Class 10 Maths Question 5

Solution for Ex 8.1 Class 10 Maths Question 5
 

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 for Ex 8.1 Class 10 Maths Question 6

Solution for Ex 8.1 Class 10 Maths Question 6
 

Ex 8.1 Class 10 Maths Question 7.

Solution for Ex 8.1 Class 10 Maths Question 7

Solution for Ex 8.1 Class 10 Maths Question 7
 

Ex 8.1 Class 10 Maths Question 8.

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

Solution for Ex 8.1 Class 10 Maths Question 8

Solution for Ex 8.1 Class 10 Maths Question 8
 

Ex 8.1 Class 10 Maths 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 for Ex 8.1 Class 10 Maths Question 9

Solution for Ex 8.1 Class 10 Maths Question 9
 

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 for Ex 8.1 Class 10 Maths Question 10

Solution for Ex 8.1 Class 10 Maths Question 10
 

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 =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 for Ex 8.1 Class 10 Maths Question 11

Solution for Ex 8.1 Class 10 Maths Question 11
 

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