Ex 8.4 class 10

NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.4 are part of • • • • Board CBSE Textbook NCERT Class Class 10 Subject Maths Chapter Chapter 8 Chapter Name Introduction to Trigonometry Exercise Ex 8.4 Number of Questions Solved 5 Category NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.4 Ex 8.4 Class 10 Maths Question 1. Express the trigonometric ratios sin A, sec A and tan A in terms of cot A. Solution: Ex 8.4 Class 10 Maths Question 2. Write all the other trigonometric ratios of ∠A in terms of sec A. Solution: Ex 8.4 Class 10 Maths Question 3. Evaluate: Solution: Ex 8.4 Class 10 Maths Question 4. Choose the correct option. Justify your choice. (i) 9 sec² A – 9 tan² A = …… (A) 1 (B) 9 (C) 8 (D) 0 (ii) (1 + tan θ + sec θ) (1 + cot θ – cosec θ) = ……….. (A) 0 (B) 1 (C) 2 (D) -1 (iii) (sec A + tan A) (1 – sin A) = …………. (A) sec A (B) sin A (C) cosec A (D) cos A (iv) \(\frac \) = ……….. (A) sec² A (B) -1 (C) cot² A (D) tan² A Solution: Ex 8.4 Class 10 Maths Question 5. Prove the following identities, where the angles involved are acute angles for which the expressions are defined. Solution: We hope the NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.4, help you. If you have any query regarding NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.4, drop a comment below and we will get back to you at the earliest.

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Chapter Name NCERT Maths Exemplar Solutions for Chapter8 Introduction to Trigonometry and its Equation Exercise 8.4 Book Name NCERT Exemplar for Class 10 Maths Other Exercises • Exercise 8.1 • Exercise 8.2 • Exercise 8.3 Related Study NCERT Solutions for Class 10 Maths Exercise 8.4 Solutions Long Answer Questions 1.If cosecθ + cotθ = p, then prove that cosθ = (p 2– 1)/(p 2 + 1) . Solution As, cosecθ + cot θ = p 2. Prove that √(sec 2θ + cosec 2θ) = tan θ + cot θ. Solution Taking, L.H.S = √(sec 2θ + cosec 2θ) Since, 3. The angle of elevation of the top of a tower from certain point is 30°. If the observer moves 20 metres towards the tower, the angle of elevation of the top increases by 15°. Find the height of the tower. Solution Let us take PR = h meter, the height of the tower. The distance between the observer and tower is QR = (20 +x) m, where QR = QS + SR = 20 + x ∠PQR = 30° ∠ PSR = θ In ∆PQR, tan 30° = h/(20 +x ) ⇒ 1/√3 = h/(20 + x) On cross multiplication, We get, 20 + x = √3h ⇒ x = √3h - 20 ...eq. (i) In∆PSR, tanθ = h/x As, angle of elevation increases by 15° when the observer moves 20 m towards the tower. So, θ = 30° + 15° = 45° Therefore, tan 45° = h/x ⇒ 1 = h/x ⇒ h = x Putting x = h in eq. (i), h = √3h - 20 ⇒√3h - h = 20 ⇒ h(√3 - 1) = 20 On rationalizing we get, h = 10(√3 + 1) The required height of the tower is 10(√3 + 1) meter. 4. If 1 + sin 2θ = 3sin θ cosθ, then prove that tan θ = 1 or 1/2. Solution We have, 1 + sin 2θ = 3sin θ cosθ on dividing L.H.S and R.H.S ...

AP State Board Syllabus AP State Syllabus SSC 10th Class Maths Solutions 8th Lesson Similar Triangles Exercise 8.4 10th Class Maths 8th Lesson Similar Triangles Ex 8.4 Textbook Questions and Answers Question 1. Prove that the sum of the squares of the sides of a rhombus is equal to the sum of the squares of its diagonals. Answer: Given : □ ABCD is a rhombus. Let its diagonals AC and BD bisect each other at ‘O’. We know that “the diagonals in a rhombus are perpendicular to each other”. In △AOD; AD 2 = OA 2 + OD 2………. (1) [Pythagoras theorem] In △COD; CD 2 = OC 2 + OD 2………. (2) [Pythagoras theorem] In △AOB; AB 2 = OA 2 + OB 2………. (3) [Pythagoras theorem] In △BOC; BC 2 = OB 2 + OC 2………. (4) [Pythagoras theorem] Adding the above equations we get AD 2 + CD 2 + AB 2 + BC 2 = 2 (OA 2 + OB2 + OC 2 + OD 2) Question 2. ABC is a right triangle right angled at B. Let D and E be any points on AB and BC respectively. Prove that AE 2 + CD 2 = AC 2 + DE 2. Answer: Given: In △ABC; ∠B = 90° D and E are points on AB and BC. R.T.P.: AE 2 + CD 2 = AC 2 + DE 2 Proof: In △BCD, △BCD is a right triangle right angled at B. ∴ BD 2 + BC 2 = CD 2……… (1) [∵ Pythagoras theorem states that hypotenuse 2 = side 2 + side 2] In △ABE; ∠B = 90° Adding (1) and (2), we get BD 2 + BC 2 + AB 2 + BE 2– CD 2 + AE 2 (BD 2 + BE 2) + (AB 2 + BC 2) = CD 2 + AE 2 DE 2 + AC 2– CD 2 + AE 2 [Q.E.D.] [∵ (i) In △DBE, ∠B = 90° and DE 2 = BD 2 + BE 2 (ii) In △ABC, ∠B = 90° and AB 2 + BC 2] Question 3. Prove that three times the...

Class 10 Maths NCERT Solutions Chapter 8: All the Solutions prevailing here related to Class 10 Maths Chapter 8 will make your preparation easier. Understand the concepts and score well in the Board Examination with the notes, important questions, Multiple Choice Questions, Exemplar Problems listed for your convenience. Maths NCERT Solutions Class 10 Chapter 8 acts as a strong foundation for each and every concept. Clear your doubts and understand the fundamentals present by practicing Exercise Wise(8,1, 8.2, 8.3, 8.4) Solutions for NCERT Class 10 maths. Apart from these, you will get a direct link to download NCERT Maths Class 10 Introduction to Trigonometry Solutions PDF free of cost. You will have an idea on the Topics and Subtopics listed in Class 10 Maths Chapter 8 i.e. Introduction to Geometry. Students can make use of Chapter 8 Topics and Subtopics Prevailing in Introduction to Geometry Name of the Section Name of the Topic 8 Introduction to Trigonometry 8.1 Introduction 8.2 Trigonometric Ratios 8.3 Trigonometric Ratios of some specific angles 8.4 Trigonometry ratios of complementary angles 8.5 Trigonometric Identities 8.6 Summary NCERT Solutions for Class 10 Maths Chapter 8 – Introduction to Trigonometry Solved answers for Class 10 Maths Chapter 8 will be helpful during your preparation for the board examination. Make sure you solve all the exercises in Introduction to Trigonometry so that you can score well. Our major concern is to provide step by step solutions f...

Get Free NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 Introduction to Trigonometry Class 10 Maths NCERT Solutions are extremely helpful while doing homework. Exercise 8.3 Class 10 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 8 Maths Class 10 Coordinate Geometry Exercise 8.3 Provided in NCERT Textbook. Topics and Sub Topics in Class 10 Maths Chapter 8 Introduction to Trigonometry: Section Name Topic Name 8 Introduction to Trigonometry 8.1 Introduction 8.2 Trigonometric Ratios 8.3 Trigonometric Ratios Of Some Specific Angles 8.4 Trigonometric Ratios Of Complementary Angles 8.5 Trigonometric Identities 8.6 Summary • • • • • • • • • You can also download the free PDF of Chapter 8 Ex 8.3 Coordinate Geometry NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation. Board CBSE Textbook NCERT Class Class 10 Subject Maths Chapter Chapter 8 Chapter Name Introduction to Trigonometry Exercise Ex 8.3 Number of Questions Solved 7 Category NCERT Solutions For Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.3 NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.3 are part of Introduction to Trigonometry Ex 8.3. Ex 8.3 Class 10 Maths Question 1. Evaluate: Solution: Ex 8.3 Class 10 Maths 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: Ex 8.3 Class 10 M...

NCERT Solutions for Class 10 Maths ex 8.4 designed by the subject matter experts at Vedantu provide a detailed explanation of every sum covered in the exercise. Our experts have prepared the solutions to each question in Class 10 Chapter 8 Exercise 8.4 in an easy step-by-step manner. By going through these Maths NCERT Solutions Class 10 Ex 8.4, you should be able to solve and analyze sums from trigonometric identities. There are a total of 5 questions in Maths Class 10 Chapter 8 Exercise 8.4 with many subparts, need long-winded derivations which are explained clearly by breaking down each problem in multiple steps. All the NCERT Book Solutions are prepared by experienced and highly qualified teaching staff. You can also find NCERT Solutions for Class 10 Science on Vedantu. Important Topics under NCERT Solutions for Class 10 Maths Chapter 8 Exercise 8.4 - Introduction to Trigonometry Chapter 8 in the Class 10 Maths syllabus is Introduction to Trigonometry. It is one of the most important chapters covered in Class 10 Maths. The chapter on Introduction to Trigonometry is divided into 6 major parts. The following table comprises the important topics covered under the chapter Introduction to Trigonometry. Sl. No. Topics 1 An Introduction 2 Trigonometric Ratios 3 Trigonometric Ratios - Specific Angles 4 Trigonometric Ratios - Complementary Angles 5 Trigonometric Identities 6 A Summary We recommend that students go through each of these topics carefully to be able to master this ...

Share with your friends Share Share Share twitter • NCERT Solutions • Class 10 Chapter-wise, detailed solutions to the questions of the NCERT Books are provided with the objective of helping students compare their answers with the sample answers. Key features of NCERT Solutions for class 10 • Homework made easy with chapter-wise detailed solutions to the questions of NCERT class 10 textbooks • Properly organized solutions in chapter-wise and page-wise format help find you find your solutions quickly • Beautifully Animated Videos help you understand solutions of difficult questions of class 10 • Detailed subjective answers for questions which are easy to understand and learn • Carefully designed class 10 • NCERT solutions for class 10 are available for all chapters of all the subjects Here at Meritnation.com, students can find the best NCERT solutions for class 10 with just a click of the mouse. When the study materials are readily available, preparation for exams becomes much easier for the students. With the class 10 NCERT solutions, the quality of the study materials is being effectively maintained. Prepared by the experts of Meritnation.com, both subjective and MCQ type questions along with their answers and solutions are being provided in the class 10 NCERT Solutions keeping in mind the exact requirement of the class 10 students. Students also get the option for studying a particular chapter, take chapter test or revise the chapter with the NCERT class 10 solutions. Th...

Get Free NCERT Solutions for Class 10 Maths Chapter 8 Ex 8.3 Introduction to Trigonometry Class 10 Maths NCERT Solutions are extremely helpful while doing homework. Exercise 8.3 Class 10 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Detailed answers of all the questions in Chapter 8 Maths Class 10 Coordinate Geometry Exercise 8.3 Provided in NCERT Textbook. Topics and Sub Topics in Class 10 Maths Chapter 8 Introduction to Trigonometry: Section Name Topic Name 8 Introduction to Trigonometry 8.1 Introduction 8.2 Trigonometric Ratios 8.3 Trigonometric Ratios Of Some Specific Angles 8.4 Trigonometric Ratios Of Complementary Angles 8.5 Trigonometric Identities 8.6 Summary • • • • • • • • • You can also download the free PDF of Chapter 8 Ex 8.3 Coordinate Geometry NCERT Solutions or save the solution images and take the print out to keep it handy for your exam preparation. Board CBSE Textbook NCERT Class Class 10 Subject Maths Chapter Chapter 8 Chapter Name Introduction to Trigonometry Exercise Ex 8.3 Number of Questions Solved 7 Category NCERT Solutions For Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.3 NCERT Solutions for Class 10 Maths Chapter 8 Introduction to Trigonometry Ex 8.3 are part of Introduction to Trigonometry Ex 8.3. Ex 8.3 Class 10 Maths Question 1. Evaluate: Solution: Ex 8.3 Class 10 Maths 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: Ex 8.3 Class 10 M...

Class 10 Maths NCERT Solutions Chapter 8: All the Solutions prevailing here related to Class 10 Maths Chapter 8 will make your preparation easier. Understand the concepts and score well in the Board Examination with the notes, important questions, Multiple Choice Questions, Exemplar Problems listed for your convenience. Maths NCERT Solutions Class 10 Chapter 8 acts as a strong foundation for each and every concept. Clear your doubts and understand the fundamentals present by practicing Exercise Wise(8,1, 8.2, 8.3, 8.4) Solutions for NCERT Class 10 maths. Apart from these, you will get a direct link to download NCERT Maths Class 10 Introduction to Trigonometry Solutions PDF free of cost. You will have an idea on the Topics and Subtopics listed in Class 10 Maths Chapter 8 i.e. Introduction to Geometry. Students can make use of Chapter 8 Topics and Subtopics Prevailing in Introduction to Geometry Name of the Section Name of the Topic 8 Introduction to Trigonometry 8.1 Introduction 8.2 Trigonometric Ratios 8.3 Trigonometric Ratios of some specific angles 8.4 Trigonometry ratios of complementary angles 8.5 Trigonometric Identities 8.6 Summary NCERT Solutions for Class 10 Maths Chapter 8 – Introduction to Trigonometry Solved answers for Class 10 Maths Chapter 8 will be helpful during your preparation for the board examination. Make sure you solve all the exercises in Introduction to Trigonometry so that you can score well. Our major concern is to provide step by step solutions f...