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Balbharati solutions for Class 9 Geometry chapter 8 - Trigonometry

Balbharati Class 9 Mathematics 2 Geometry

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Balbharati Balbharati Class 9 Mathematics 2 Geometry

Balbharati Class 9 Mathematics 2 Geometry - Shaalaa.com

Chapter 8: Trigonometry

Practice Set 8.1Practice Set 8.2Problem Set 8

Chapter 8: Trigonometry Exercise Practice Set 8.1 solutions [Page 104]

Practice Set 8.1 | Q 1 | Page 104

In the given Fig, `angle` R is the right angle of `triangle` PQR. Write the following ratios.
(i) sin P (ii) cos Q (iii) tan P (iv) tan Q

Practice Set 8.1 | Q 2 | Page 104

In the right angled `triangle` XYZ, `angle`XYZ = 90° and a, b, c are the lengths of the sides as shown in the figure. Write the following ratios,
(i) sin X (ii) tan Z (iii) cos X (iv) tan X.

Practice Set 8.1 | Q 3 | Page 104
In right angled `triangle` LMN, `angle` LMN = 90°, `angle` L = 50° and ∠ N = 40°, write the following ratios.

(i) sin 50° (ii) cos 50° (iii) tan 40° (iv) cos 40°
Practice Set 8.1 | Q 4 | Page 104

In the given figure, `angle` PQR = 90° , `angle` PQS = 90° , `angle` PRQ = α  and `angle` QPS = θ   Write the following trigonometric ratios.
(i) sin α, cos α  , tan α
(ii) sin θ , cos θ , tan θ  

Chapter 8: Trigonometry Exercise Practice Set 8.2 solutions [Page 112]

Practice Set 8.2 | Q 1 | Page 112

In the following table, a ratio is given in each column. Find the remaining two ratios in the column and complete the table.

sin θ    `11/61`   `1/2`       `3/5`  
Cos θ `35/37`       `1/sqrt3`        
tan θ     `1`     `21/20` `8/15`   `1/[2sqrt2]`
Practice Set 8.2 | Q 2.1 | Page 112

Find the values of 

5 sin 30‚Äč° + 3 tan 45° 

Practice Set 8.2 | Q 2.2 | Page 112

Find the values of 

`4/5` tan60° + 3sin2 60°

Practice Set 8.2 | Q 2.3 | Page 112

Find the values of 

 2sin 30° + cos 0° + 3sin 90°

Practice Set 8.2 | Q 2.4 | Page 112

Find the values of

` [tan 60°]/ [ sin 60° + cos 60°]`

Practice Set 8.2 | Q 2.5 | Page 112

Find the values of 

cos245 °+ sin2 30°

Practice Set 8.2 | Q 2.6 | Page 112

Find the values of 

cos 60°× cos 30° + sin 60°× sin 30°

Practice Set 8.2 | Q 3 | Page 112

If sin θ = `4/5` then find cos θ

Practice Set 8.2 | Q 4 | Page 112

If cos θ = `15/17` then find sin θ

Chapter 8: Trigonometry Exercise Problem Set 8 solutions [Page 113]

Problem Set 8 | Q 1.1 | Page 113

Choose the correct alternative answer for following multiple choice question.

Which of the following statements is true ?

  • sin θ = cos (90 - θ ) 

  • cos θ = tan ( 90 - θ )

  • sin θ = tan (90 - θ ) 

  • tan θ = tan (90 - θ ) 

Problem Set 8 | Q 1.2 | Page 113

Choose the correct alternative answer for following multiple choice question.

Which of the following is the value of sin 90° ?

  • `sqrt 3/2`

  • 0

  • `1/2`

  • 1

Problem Set 8 | Q 1.3 | Page 113

Choose the correct alternative answer for following multiple choice question.

2 tan 45° + cos 45° - sin 45° = ?

  • 0

  • 1

  • 2

  • 3

Problem Set 8 | Q 1.4 | Page 113

Choose the correct alternative answer for following multiple choice question.

`[cos 28°]/[sin 62°]`

  • 2

  • -1

  • 0

  • 1

Problem Set 8 | Q 2 | Page 113

In right angled Δ TSU, TS = 5, ∠S = 90°, SU = 12 then find sin T, cos T, tan T. Similarly find sin U, cos U, tan U.

Problem Set 8 | Q 3 | Page 113

In right angled ΔYXZ, ∠ X = 90°, XZ = 8 cm, YZ = 17 cm, find sin Y, cos Y, tan Y, sin Z, cos Z, tan Z.

Problem Set 8 | Q 4 | Page 113

In right angled Δ LMN , if ∠ N =θ , ∠M = 90°, cos θ =`24/25` , find sin θ and tan θ Similarly, find  ( sin2θ) and ( cos2θ).

Problem Set 8 | Q 5.1 | Page 113

Fill in the blank.
sin20  =  cos ________ °

Problem Set 8 | Q 5.2 | Page 113

Fill in the blank.

tan 30° x tan ______°  = 1

Problem Set 8 | Q 5.3 | Page 113

Fill in the blank.

cos 40° = sin ______°

Chapter 8: Trigonometry

Practice Set 8.1Practice Set 8.2Problem Set 8

Balbharati Balbharati Class 9 Mathematics 2 Geometry

Balbharati Class 9 Mathematics 2 Geometry - Shaalaa.com

Balbharati solutions for Class 9 Geometry chapter 8 - Trigonometry

Balbharati solutions for Class 9 chapter 8 (Trigonometry) 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 Maharashtra State Board Balbharati Class 9 Mathematics 2 Geometry 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. Balbharati textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 9 Geometry chapter 8 Trigonometry are Relation among trigonometric ratios, Trigonometry Table, Important Equation in Trigonometry, Trigonometric Ratios of an Acute Angle of a Right-angled Triangle, Terms related to right angled triangle, Introduction to Trigonometry.

Using Balbharati Class 9 solutions Trigonometry 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 Balbharati Solutions are important questions that can be asked in the final exam. Maximum students of Maharashtra State Board Class 9 prefer Balbharati Textbook Solutions to score more in exam.

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