RD Sharma Class 10 Solutions Chapter 5 Exercise 5.1 (Updated for 2021-22)

RD Sharma Class 10 Solutions Chapter 5 Exercise 5.1

RD Sharma Class 10 Solutions Chapter 5 Exercise 5.1: This exercise includes problems that require you to determine all of the trigonometric ratios when only one is given. The RD Sharma Class 10 Solutions has all of the solutions to this and other chapters. Students can get RD Sharma Solutions for Class 10 Maths Chapter 5 Trigonometric Ratios Exercise 5.1 PDF if they have any questions about the solution or concept.

Download RD Sharma Class 10 Solutions Chapter 5 Exercise 5.1 Free PDF

 


RD Sharma Class 10 Solutions Chapter 5 Exercise 5.1

Access answers to RD Sharma Solutions Class 10 Maths Chapter 5 Exercise 5.1- Important Question with Answers

Question 1.
In each of the following, one of the six trigonometric ratios is given. Find the values of the other trigonometric ratios.
rd-sharma-class-10-solutions-chapter-10-trigonometric-ratios-ex-10-1-q1
Solution:
∴ Perpendicular BC – 2 units and
Hypotenuse AC = 3 units
By Phythagoras Theorem, in AABC,
(Hypotenuse)2 = (Base)2 + (Perpendicular)2
AC2 = AB2 + BC2
⇒ (3)2 = (AB)2 + (2)2
⇒ 9 = AB2 + 4 ⇒ AB2 = 9-4 = 5
AB = √5 units
RD Sharma Class 10 Chapter 5 Trigonometric Ratios
Trigonometric Ratios Class 10 RD Sharma
RD Sharma Class 10 Solutions Trigonometric Ratios
RD Sharma Class 10 Solutions Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Pdf Chapter 5 Trigonometric Ratios
RD Sharma Solutions Class 10 Chapter 5 Trigonometric Ratios
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Class 10 RD Sharma Solutions Chapter 5 Trigonometric Ratios
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RD Sharma Class 10 Textbook PDF Chapter 5 Trigonometric Ratios
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10th Maths Solution Book Pdf Chapter 5 Trigonometric Ratios

Question 2.
In a ΔABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine
(i) sin A, cos A
(ii) sin C, cos C.
Solution:
RD Sharma 10 Chapter 5 Trigonometric Ratios

Question 3.
In the figure, find tan P and cot R. Is tan P = cot R?
RD Sharma Class 10 Book Pdf Chapter 5 Trigonometric Ratios
Solution:
Solution Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios

Question 4.
If sin A = \(\frac { 9 }{ 41 }\), compute cos A and tan A.
Solution:
RD Sharma 10 Solutions Chapter 5 Trigonometric Ratios

Question 5.
Given 15 cot A = 8, find sin A and sec A.
Solution:
RD Sharma Maths Book For Class 10 Solution Chapter 5 Trigonometric Ratios

Question 6.
In ΔPQR, right-angled at Q, PQ = 4 cm and RQ = 3 cm. Find the values of sin P, sin R, sec P, and sec R.
Solution:
RD Sharma Class 10 Maths Chapter 5 Trigonometric Ratios
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 5 Trigonometric Ratios

Question 7.
If cot 0 = \(\frac { 7 }{ 8 }\), evaluate :
Answers Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios
Solution:
Class 10 RD Sharma Pdf Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios

Question 8.
If 3 cot A = 4, check whether \(\frac { 1-{ tan }^{ 2 }A }{ 1+{ tan }^{ 2 }A }\) = cos2 A – sin2 A or not.
Solution:
Answers Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Maths Chapter 5 Trigonometric Ratios

Question 9.
If tan θ = a/b , Find the Value of \(\frac { cos\theta +sin\theta }{ cos\theta -sin\theta }\).
Solution:
RD Sharma 10 Solutions Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Book Pdf Chapter 5 Trigonometric Ratios

Question 10.
If 3 tan θ = 4, find the value of 4cos θ – sin θ \(\frac { 4cos\theta -sin\theta }{ 2cos\theta +sin\theta }\).
Solution:
10th Maths Solution Book Pdf Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Textbook PDF Chapter 5 Trigonometric Ratios

Question 11.
If 3 cot 0 = 2, find the value of \(\frac { 4sins\theta -3cos\theta }{ 2sin\theta +6cos\theta }\).
Solution:
RD Sharma Maths Class 10 Solutions Chapter 5 Trigonometric Ratios

Question 12.
If tan θ = \(\frac { a }{ b }\), prove that
RD Sharma Class 10 Book Pdf Free Download Chapter 5 Trigonometric Ratios
Solution:
RD Sharma Class 10 Book Pdf Free Download Chapter 5 Trigonometric Ratios

Question 13.
If sec θ = \(\frac { 13 }{ 5 }\), show that \(\frac { 2sins\theta -3cos\theta }{ 4sin\theta -9cos\theta }\) =3.
Solution:
RD Sharma Class 10 Pdf Ebook Chapter 5 Trigonometric Ratios

Question 14.
If cos θ \(\frac { 12 }{ 13 }\), show that sin θ (1 – tan θ) \(\frac { 35 }{ 156 }\).
Solution:
RD Sharma Class 10 Pdf Free Download Full Book Chapter 5 Trigonometric Ratios
Learncbse.In Class 10 Chapter 5 Trigonometric Ratios

Question 15.
RD Sharma Class 10 Pdf Chapter 5 Trigonometric Ratios
Solution:
RD Sharma Class 10 Solutions Trigonometric Ratios
RD Sharma Class 10 Solutions Trigonometric Ratios

Question 16.
RD Sharma Class 10 Chapter 5 Trigonometric Ratios
Solution:
RD Sharma Class 10 Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Chapter 5 Trigonometric Ratios

Question 17.
If sec θ = \(\frac { 5 }{ 4 }\), find the value of \(\frac { sins\theta -2cos\theta }{ tan\theta -cot\theta }\).
Solution:
Trigonometric Ratios Class 10 RD Sharma
RD Sharma Class 10 Solutions Chapter 5 Trigonometric Ratios

Question 18.
RD Sharma Solutions Class 10 Chapter 5 Trigonometric Ratios
Solution:
Class 10 RD Sharma Solutions Chapter 5 Trigonometric Ratios
Class 10 RD Sharma Solutions Chapter 5 Trigonometric Ratios

Question 19.
RD Sharma Class 10 Solution Chapter 5 Trigonometric Ratios
Solution:
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios
RD Sharma Maths Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios

Question 20.
Class 10 RD Sharma Chapter 5 Trigonometric Ratios
Solution:
RD Sharma 10 Class Solutions Chapter 5 Trigonometric Ratios
RD Sharma 10 Class Solutions Chapter 5 Trigonometric Ratios

Question 21.
If tan θ = \(\frac { 24 }{ 7 }\), find that sin θ + cos θ.
Solution:
Maths RD Sharma Class 10 Solutions Chapter 5 Trigonometric Ratios
RD Sharma 10 Chapter 5 Trigonometric Ratios

Question 22.
If sin θ = \(\frac { a }{ b }\), find sec θ + tan θ in terms of a and b.
Solution:
Solution Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios

Question 23.
If 8 tan A = 15, find sin A – cos A.
Solution:
RD Sharma Maths Book For Class 10 Solution Chapter 5 Trigonometric Ratios

Question 24.
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 5 Trigonometric Ratios
Solution:
Class 10 RD Sharma Pdf Chapter 5 Trigonometric Ratios
Class 10 RD Sharma Pdf Chapter 5 Trigonometric Ratios

Question 25.
RD Sharma Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios
Solution:
RD Sharma Class 10 Solutions Pdf Free Download Chapter 5 Trigonometric Ratios
Class 10 RD Sharma Pdf Chapter 5 Trigonometric Ratios

Question 26.
If ∠A and ∠B are acute angles such that cos A = cos B, then show that ∠A = ∠B.
Solution:
∠A and ∠B are acute angles and cos A = cos B
Draw a right angle AABC, in which ∠C – 90°
Answers Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios

Question 27.
In an ∆ABC, right-angled at A, if tan C =√3, find the value of sin B cos C + cos B sin C. (C.B.S.E. 2008)
Solution:
RD Sharma Mathematics Class 10 Pdf Download Free Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Maths Chapter 5 Trigonometric Ratios

Question 28.
28. State whether the following are true or false. Justify your answer.
(i) The value of tan A is always less than 1.
(ii) sec A = \(\frac { 12 }{ 5 }\) 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 = \(\frac { 4 }{ 3 }\) for some angle θ.
Solution:
(i) False, the value of tan A 0 to infinity.
(ii) True.
(iii) False, cos A is the abbreviation of cosine A.
(iv) False, it is the cotangent of angle A.
(v) False, the value of sin θ varies from 0 to 1.

Question 29.
RD Sharma Maths Book For Class 10 Solution Chapter 5 Trigonometric Ratios
Solution:
RD Sharma 10 Solutions Chapter 5 Trigonometric Ratios
Solution Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios
Solution Of RD Sharma Class 10 Chapter 5 Trigonometric Ratios

Question 30.
RD Sharma Class 10 Book Pdf Chapter 5 Trigonometric Ratios
Solution:
RD Sharma 10 Chapter 5 Trigonometric Ratios
RD Sharma 10 Chapter 5 Trigonometric Ratios

Question 31.
10th Maths Solution Book Pdf Chapter 5 Trigonometric Ratios
Solution:
10th Maths Solution Book Pdf Chapter 5 Trigonometric Ratios
10th Maths Solution Book Pdf Chapter 5 Trigonometric Ratios

Question 32.
If sin θ =\(\frac { 3 }{ 4 }\), prove that
Maths RD Sharma Class 10 Solutions Chapter 5 Trigonometric Ratios
Solution:
RD Sharma Class 10 Textbook PDF Chapter 5 Trigonometric Ratios
RD Sharma Class 10 Textbook PDF Chapter 5 Trigonometric Ratios

Question 33.
RD Sharma 10 Class Solutions Chapter 5 Trigonometric Ratios
Solution:
RD Sharma 10 Class Solutions Chapter 5 Trigonometric Ratios
RD Sharma 10 Class Solutions Chapter 5 Trigonometric Ratios

Question 34.
RD Sharma Maths Class 10 Solutions Chapter 5 Trigonometric Ratios
Solution:
RD Sharma Maths Class 10 Solutions Chapter 5 Trigonometric Ratios
RD Sharma Maths Class 10 Solutions Chapter 5 Trigonometric Ratios
RD Sharma Maths Class 10 Solutions Chapter 5 Trigonometric Ratios

Question 35.
If 3 cos θ-4 sin θ = 2 cos θ + sin θ, find tan θ.
Solution:
Class 10 RD Sharma Solutions Chapter 5 Trigonometric Ratios

Question 36.
If ∠A and ∠P are acute angles such that tan A = tan P, then show that ∠A = ∠P.
Solution:
∠A and ∠P are acute angles and tan A = tan P Draw a right-angled AAPB in which ∠B = 90°
Class 10 RD Sharma Solutions Chapter 5 Trigonometric Ratios

We have provided complete details of RD Sharma Class 10 Solutions Chapter 5 Exercise 5.1. If you have any queries related to CBSE Class 10, feel free to ask us in the comment section below.

FAQs on RD Sharma Class 10 Solutions Chapter 5 Exercise 5.1

What are the benefits of using RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.1?

1. Correct answers according to the latest CBSE guidelines and syllabus.
2. The RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.1 is written in simple language to assist students in their board examination, & competitive examination preparation.

Where can I download RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.1 free PDF?

You can download RD Sharma Class 10 Maths Solutions Chapter 5 Exercise 5.1 free PDF from the above article.

Is it important to study all of the concepts included in RD Sharma Class 10 Solutions Chapter 5 Exercise 5.1?

Yes, learning all of the concepts included in RD Sharma Solutions for Class 10 Maths Chapter 5 Exercise 5.1 is required in order to achieve high scores on the Class 10 board exams. These solutions were created by subject matter specialists who compiled model questions that covered all of the textbook’s exercise questions.

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