NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2 - A Plus Topper.com

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NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2 are part of NCERT Solutions for Class 10 Maths. Here are we have given Chapter 8 Introduction to Trigonometry Class 10 NCERT Solutions Ex 8.2.

BoardCBSE
TextbookNCERT
ClassClass 10
SubjectMaths
ChapterChapter 8
Chapter NameIntroduction to Trigonometry
ExerciseEx 8.2
Number of Questions Solved4
CategoryNCERT Solutions

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2

NCERT Solutions for Class 10 Maths

Page No: 187

Question 1. Evaluate the following :
(i) sin 60° cos 30° + sin 30° cos 60°
(ii) 2 tan245° + cos230° – sin260°
(iii) cos450sec300+cosec300
(iv) sin300+tan450cosec600sec300+cosec600+cot450
(v) 5cos2600+4sec2300tan2450sin2300+cos2300

Solution:
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 16

Question 2. Choose the correct option and justify your choice :
(i) 2tan3001+tan2300=
(A) sin 60° (B) cos 60° (C) tan 60° (D) sin 30°

(ii) 1tan24501+tan2450=
(A) tan 90° (B) 1 (C) sin 45° (D) 0

(iii) sin 2A = 2 sin A is true when A =
(A) 0° (B) 30° (C) 45° (D) 60°

(iv) 2tan3001tan2300=
(A) cos 60° (B) sin 60° (C) tan 60° (D) sin 30°

Solution:
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 17
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 18

Question 3. If tan (A + B) = √3 and tan (A – B) = 1/√3; 0° < A + B ≤ 90°; A > B, find A and B.

Solution:
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 19

Question 4. State whether the following are true or false. Justify your answer.
(i) sin (A + B) = sin A + sin B.
(ii) The value of sin θ increases as θ increases.
(iii) The value of cos θ increases as θ increases.
(iv) sin θ = cos θ for all values of θ.
(v) cot A is not defined for A = 0°.

Solution:
NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry 20

 

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