Share
Notifications

View all notifications
Advertisement

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

Login
Create free account


      Forgot password?
Textbook page

Chapters

Secondary School Class 10 Maths - Shaalaa.com

Chapter 5: Trigonometric Ratios

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

Q 1

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

Q 2

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

Q 3

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

Q 4

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

Q 5

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

Q 6

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

Q 7

If 15 cot A = 8 find all the values of sin A and sec A

Q 8

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

Q 9

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

Q 10

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

Q 11

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

Q 12

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

Q 13

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

Q 14

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

Q 15

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

Q 16

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

Q 17

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

Q 18

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

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)`

Q 20

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

Q 21

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

 

Q 22

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

Q 23

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

Q 24

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

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

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`

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

Q 28

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

Q 29

IF ΔABC ,∠B = 90° AND Tan A = `1/sqrt(3)`. Prove that

(i) Sin A. cos C+ cos A. Sin c = 1
(ii) cos A. cos C -sin A. sin C = 0

Q 30

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

Q 31

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

Q 32

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

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 

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

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`

 

Chapter 5: Trigonometric Ratios

Advertisement
Secondary School Class 10 Maths - Shaalaa.com

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

RS Aggarwal solutions for Secondary School Class 10 Maths chapter 5 (Trigonometric Ratios) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Secondary School Class 10 Maths solutions in a manner that help students grasp basic concepts better and faster.

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

Concepts covered in Secondary School Class 10 Maths chapter 5 Trigonometric Ratios are Introduction to Trigonometry, Introduction to Trigonometry Examples and Solutions, Trigonometric Ratios, Trigonometric Ratios of an Acute Angle of a Right-angled Triangle, Trigonometric Ratios of Some Specific Angles, Trigonometric Ratios of Complementary Angles, Trigonometric Identities, Proof of Existence, Relationships Between the Ratios, Introduction to Trigonometry, Introduction to Trigonometry Examples and Solutions, Trigonometric Ratios, Trigonometric Ratios of an Acute Angle of a Right-angled Triangle, Trigonometric Ratios of Some Specific Angles, Trigonometric Ratios of Complementary Angles, Trigonometric Identities, Proof of Existence, Relationships Between the Ratios.

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

Get the free view of chapter 5 Trigonometric Ratios Class 10 extra questions for Secondary School Class 10 Maths and can use Shaalaa.com to keep it handy for your exam preparation

Advertisement
View in app×