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

## Chapter 5: Trigonometric Ratios

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

If 15 cot A = 8 find all the values of 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

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

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

Exercises

## 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.

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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.

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