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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 Maths Chapter 5 Trigonometric Ratios Exercises
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 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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