#### Chapters

Chapter 2: Polynomials

Chapter 3: Linear Equations in two variables

Chapter 4: Triangles

Chapter 5: Trigonometric Ratios

Chapter 6: T-Ratios of some particular angles

Chapter 7: Trigonometric Ratios of Complementary Angles

Chapter 8: Trigonometric Identities

Chapter 9: Mean, Median, Mode of Grouped Data, Cumulative Frequency Graph and Ogive

Chapter 10: Quadratic Equations

Chapter 11: Arithmetic Progression

Chapter 12: Circles

Chapter 13: Constructions

Chapter 14: Height and Distance

Chapter 15: Probability

Chapter 16: Coordinate Geomentry

Chapter 17: Perimeter and Areas of Plane Figures

Chapter 18: Area of Circle, Sector and Segment

Chapter 19: Volume and Surface Area of Solids

## Chapter 5: Trigonometric Ratios

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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)`

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

RS Aggarwal solutions for Secondary School Class 10 Mathematics 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 Mathematics solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Secondary School Class 10 Mathematics 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.

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