RS Aggarwal solutions for Secondary School Class 10 Maths chapter 5 - Trigonometric Ratios [Latest edition]

Chapters

RS Aggarwal solutions for Secondary School Class 10 Maths chapter 5 - Trigonometric Ratios - Shaalaa.com
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Solutions for Chapter 5: Trigonometric Ratios

Below listed, you can find solutions for Chapter 5 of CBSE RS Aggarwal for Secondary School Class 10 Maths.


Exercises
Exercises

RS Aggarwal solutions for Secondary School Class 10 Maths Chapter 5 Trigonometric Ratios Exercises

Exercises | Q 1

If sin θ ,` sqrt (3)/2` find the value of all T- ratios of θ .

Exercises | Q 2

If cos θ  = `7/25` find the value of all T-ratios of  θ   .

Exercises | Q 3

If tan θ =`15/ 8 `, find the values of all T-ratios of θ.

Exercises | Q 4

If cot θ =  2 find all the values of all T-ratios of θ .

Exercises | Q 5

If cosec θ = `sqrt(10)` find all the values of all T-ratios of θ

Exercises | Q 6

If sin θ = ` (a^2 - b^2)/(a^2+b^2)`find all the values of all T-ratios of θ .

Exercises | Q 7

Given 15 cot A = 8. Find sin A and sec A

Exercises | Q 8

If sin A = `9/41` find all the values of cos A and tan A

Exercises | Q 9

If cos θ=0.6 show that (5sin θ -3tan θ) = 0

Exercises | Q 10

If cosec θ= 2 show that `(cot θ +sin θ /(1+cos θ )) =2`

Exercises | Q 11

If tan θ = `1/sqrt(7) `show that  ` (cosec ^2  θ - sec^2 θ)/(cosec^2 θ + sec^2 θ ) = 3/4` 

Exercises | Q 12

If tan θ = `20/21` show that `((1-sin θ + cos θ))/((1+ sin θ +cos θ)) = 3/7`

Exercises | Q 13

If sec θ = `5/4 ` show that `((sin θ   - 2 cos θ))/(( tan θ - cot θ)) = 12/7`

Exercises | Q 14

If  cot  θ = `3/4` , show that `sqrt("sec θ - cosecθ"/"secθ + cosecθ" ) = 1/ sqrt(7)`

Exercises | Q 15

If sin θ = `3/4` show that `sqrt((cosec^2theta - cot^2theta)/(sec^2theta-1)) =sqrt(7)/3` 

Exercises | Q 16

If sin θ = `a/b`,show that `(sectheta + tan theta) = sqrt((b+a)/(b-a))`

Exercises | Q 17

If cos θ = `3/5` , show that `((sin theta - cot theta ))/(2tan theta)=3/160`

Exercises | Q 18

If tan θ = `4/3`, show that `(sintheta + cos theta )=7/5`

Exercises | Q 19

If tan `theta = a/b`, show that `((a sin theta - b cos theta))/((a sin theta + bcos theta))= ((a^2-b^2))/(a^2+b^2)`

Exercises | Q 20

If 3tan θ   4 , show that `((4cos theta - sin theta ))/((4 cos theta + sin theta))=4/5`

Exercises | Q 21

If 3 cot `theta = 2, `show  that `((4 sin theta - 4 cos theta))/((2 sin theta + 6 cos theta ))=1/3`

 

Exercises | Q 22

If 3 cot θ 4 , show that`((1-tan^2theta))/((1+tan^2theta)) = (cos^2theta - sin^2theta)`

Exercises | Q 23

If sec `theta = 17/8 ` verify that `((3-4sin^2theta)/(4 cos^2theta -3))=((3-tan^2theta)/(1-tan^2theta))`

Exercises | Q 24

In the adjoining figure, `∠B  = 90° , ∠BAC = theta° , BC = CD = 4cm and AD = 10 cm`. find  (i)  sin theta and (ii) `costheta`

Exercises | Q 25

In a ΔABC , ∠B = 90° , AB= 24 cm and BC = 7 cm find (i) sin A (ii) cos A (iii) sin C (iv) cos C

Exercises | Q 26

In ΔABC , ∠C = 90°  ∠ABC = θ°   BC = 21 units . and AB= 29 units. Show thaT `(cos^2 theta - sin^2 theta)=41/841`

Exercises | Q 27

In a ΔABC , ∠B = 90° , AB = 12 cm and BC = 5 cm Find
(i) cos A (ii) cosec A (iii) cos C (iv) cosec C

Exercises | Q 28

If sin ∝  = `1/2` prove that (3cos∝ - `4cos^2` ∝)=0

Exercises | Q 29

In ΔABC, right angled at B. If tan A = `1/sqrt3` , find the value of

  1.  sin A cos C + cos A sin C
  2. cos A cos C − sin A sin C
Exercises | Q 30

If ∠A and ∠B are acute angles such that sin A = Sin B prove that ∠A = ∠B.

Exercises | Q 31

If ∠A and ∠B are acute angles such that tan A= Tan B then prove that ∠A = ∠B

Exercises | Q 32

If a right ΔABC , right-angled at B, if tan A=1 then verify that 2sin A . cos A = 1

Exercises | Q 33

In the figure of ΔPQR , ∠P = θ°  and ∠R =∅° find
(i)  `sqrt(X +1) cot ∅`

(ii)`sqrt( x^3 + x ^2) tantheta`

(iii) cos θ 

Exercises | Q 34

If x = cosec A +cos A and y = cosec A – cos A then prove that `(2/(x+y))^2 + ((x-y)/2)^2` = 1

Exercises | Q 35

If x = cot A + cos A and y = cot A – cos A then prove that `((x-y)/(x+y))^2 + ((x-y)/2)^2=1`

 

Solutions for Chapter 5: Trigonometric Ratios

Exercises
RS Aggarwal solutions for Secondary School Class 10 Maths chapter 5 - Trigonometric Ratios - Shaalaa.com

RS Aggarwal solutions for Secondary School Class 10 Maths chapter 5 - Trigonometric Ratios

Shaalaa.com has the CBSE Mathematics Secondary School Class 10 Maths CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. RS Aggarwal solutions for Mathematics Secondary School Class 10 Maths CBSE 5 (Trigonometric Ratios) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. RS Aggarwal textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Secondary School Class 10 Maths chapter 5 Trigonometric Ratios are Trigonometry, Trigonometric Ratios, Trigonometric Ratios of Some Special Angles, Trigonometric Ratios of Complementary Angles, Trigonometric Identities, Proof of Existence, Relationships Between the Ratios, Trigonometry, Trigonometric Ratios and Its Reciprocal, Trigonometry, Trigonometric Ratios, Trigonometric Ratios of Some Special Angles, Trigonometric Ratios of Complementary Angles, Trigonometric Identities, Proof of Existence, Relationships Between the Ratios, Trigonometry, Trigonometric Ratios and Its Reciprocal.

Using RS Aggarwal Secondary School Class 10 Maths solutions Trigonometric Ratios exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in RS Aggarwal Solutions are essential questions that can be asked in the final exam. Maximum CBSE Secondary School Class 10 Maths students prefer RS Aggarwal Textbook Solutions to score more in exams.

Get the free view of Chapter 5, Trigonometric Ratios Secondary School Class 10 Maths additional questions for Mathematics Secondary School Class 10 Maths CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.

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