BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Book Answers |
Bihar Board Class 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbooks Solutions PDF
Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Books Solutions with Answers are prepared and published by the Bihar Board Publishers. It is an autonomous organization to advise and assist qualitative improvements in school education. If you are in search of BSEB Class 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Books Answers Solutions, then you are in the right place. Here is a complete hub of Bihar Board Class 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 solutions that are available here for free PDF downloads to help students for their adequate preparation. You can find all the subjects of Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbooks. These Bihar Board Class 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbooks Solutions English PDF will be helpful for effective education, and a maximum number of questions in exams are chosen from Bihar Board.Bihar Board Class 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Books Solutions
Board | BSEB |
Materials | Textbook Solutions/Guide |
Format | DOC/PDF |
Class | 10th |
Subject | Maths Chapter 8 Introduction to Trigonometry Ex 8.3 |
Chapters | All |
Provider | Hsslive |
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BSEB Class 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbooks Solutions with Answer PDF Download
Find below the list of all BSEB Class 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbook Solutions for PDF’s for you to download and prepare for the upcoming exams:BSEB Bihar Board Class 10th Maths Solutions Chapter 8 Introduction to Trigonometry Ex 8.3
Question 1.
Evaluate :
(i) sin18∘cos72∘
(ii) tan26∘cot64∘
(iii) cos 48° – sin 42°
(iv) cosec 31° – sec 59°
Solution:
(i) sin18∘cos72∘
= sin(90∘−72∘)cos72∘
= cos72∘cos72∘
= 1
(ii) tan26∘cot64∘
= tan(90∘−64∘)cot64∘
= cot64∘cot64∘
= 1
(iii) cos 48° – sin 42° = cos (90° – 42°) – sin 42°
= sin 42° – sin 42° = 0
(iv) cosec 31° – sec 59° = cosec (90° – 59°) – sec 59°
= sec 59° – sec 59° = 0
Question 2.
Show that
(i) tan 48° tan 23° tan 42° tan 67° = 1
(ii) cos 38° cos 52° – sin 38° sin 52° = 0
Solution:
(i) tan 48° tan 23° tan 42° tan 67°
= tan (90° – 42°) tan (90° – 67°) tan 42° tan 67°
= cot 42° cot 67° tan 42° tan 67°
= 1tan42∘.1tan67∘.tan 42° tan 67° = 1
(ii) cos 38° cos 52° – sin 38° sin 52°
= cos (90° – 52°) cos (90° – 38°) – sin 38° sin 52°
= sin 52° sin 38° – sin 38° sin 52° = 0
Question 3.
If tan 2A = cot (A – 18°), where 2A is an acute angle, find the value of A.
Solution:
We are given that
tan 2A = cot (A – 18°) … (1)
Since tan 2A = cot (90° – 2A), so we can write (1) as
cot (90° – 2A) = cot (A – 18°)
Since (90° – 2A) and (A – 18°) are both acute angles, therefore
90° – 2A = A – 18°
or – 2A – A = – 18° – 90° or – 3A = – 108°
or A = 36°
Question 4.
If tan A = cot B, prove that A + B = 90°.
Solution:
We are given that
tan A = cot B … (1)
Since tan A = cot (90° – A), so we can write (1)
as cot (90° – A) = cot B
Since (90° – A) and B are both acute angles, therefore
90° – A = B or A + B = 90°
Question 5.
If sec 4A = cosec (A – 20°), where 4A is an acute angle, find the value of A.
Solution:
We are given that
sec 4A = cosec (A – 20°). …(1)
Since sec 4A = cosec (90° – 4A), so we can write (1) as
cosec (90° – 4A) = cosec (A – 20°)
Since (90° – 4A) and (A – 20°) are both acute angles, therefore
90° – 4A = A – 20° or – 4A – A = – 20° – 90°
or – 5A = – 110° or A = 22°
Question 6.
If A, B and C are, interior angles of a ∆ ABC, then show, that
sin(𝐵+𝐶2) = cos𝐴2
Solution:
Since A, B and C are the interior angles of a ∆ ABC, therefore
Question 7.
Express sin 67° + cos 75° in terms of trigonometric ratios of angles between 0° and 45°.
Solution:
sin 67° + cos 75° = sin (90° – 23°) + cos (90° – 15°)
= cos 23° + sin 15°
BSEB Textbook Solutions PDF for Class 10th
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- BSEB Class 10 Maths Textbook Solutions PDF: Download Bihar Board STD 10th Maths Book Answers
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- BSEB Class 10 Maths Chapter 1 Real Numbers Ex 1.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 1 Real Numbers Ex 1.2 Book Answers
- BSEB Class 10 Maths Chapter 1 Real Numbers Ex 1.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 1 Real Numbers Ex 1.3 Book Answers
- BSEB Class 10 Maths Chapter 1 Real Numbers Ex 1.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 1 Real Numbers Ex 1.4 Book Answers
- BSEB Class 10 Maths Chapter 2 Polynomials Ex 2.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 2 Polynomials Ex 2.1 Book Answers
- BSEB Class 10 Maths Chapter 2 Polynomials Ex 2.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 2 Polynomials Ex 2.2 Book Answers
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- BSEB Class 10 Maths Chapter 2 Polynomials Ex 2.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 2 Polynomials Ex 2.4 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.1 Book Answers
- BSEB Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 3 Pair of Linear Equations in Two Variables Ex 3.2 Book Answers
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- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.1 Book Answers
- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.2 Book Answers
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- BSEB Class 10 Maths Chapter 4 Quadratic Equations Ex 4.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 4 Quadratic Equations Ex 4.4 Book Answers
- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.1 Book Answers
- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.2 Book Answers
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- BSEB Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 5 Arithmetic Progressions Ex 5.4 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.1 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.2 Book Answers
- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.3 Book Answers
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- BSEB Class 10 Maths Chapter 6 Triangles Ex 6.6 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 6 Triangles Ex 6.6 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.1 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.2 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.3 Book Answers
- BSEB Class 10 Maths Chapter 7 Coordinate Geometry Ex 7.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 7 Coordinate Geometry Ex 7.4 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.1 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.2 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.3 Book Answers
- BSEB Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.4 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 8 Introduction to Trigonometry Ex 8.4 Book Answers
- BSEB Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Book Answers
- BSEB Class 10 Maths Chapter 10 Circles Ex 10.1 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 10 Circles Ex 10.1 Book Answers
- BSEB Class 10 Maths Chapter 10 Circles Ex 10.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 10 Circles Ex 10.2 Book Answers
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- BSEB Class 10 Maths Chapter 11 Constructions Ex 11.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 11 Constructions Ex 11.2 Book Answers
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- BSEB Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.2 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 12 Areas Related to Circles Ex 12.2 Book Answers
- BSEB Class 10 Maths Chapter 12 Areas Related to Circles Ex 12.3 Textbook Solutions PDF: Download Bihar Board STD 10th Maths Chapter 12 Areas Related to Circles Ex 12.3 Book Answers
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