#### Chapters

## Chapter 8: Trigonometry

#### Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry Chapter 8 Trigonometry Exercise Practice Set 8.1 [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

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.

^{°}, `angle` L = 50

^{°}and ∠ N = 40

^{°}, write the following ratios.

^{}(i) sin 50° (ii) cos 50° (iii) tan 40° (iv) cos 40°

^{}

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

#### Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry Chapter 8 Trigonometry Exercise Practice Set 8.2 [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]` |

Find the values of

5 sin 30^{° }+ 3 tan 45^{° }

Find the values of

`4/5` tan^{2 }60° + 3sin^{2} 60°

Find the values of

2sin 30^{° }+ cos 0^{° }+ 3sin 90°

Find the values of

` [tan 60°]/ [ sin 60° + cos 60°]`

Find the values of

cos^{2}45 °+ sin^{2} 30°

Find the values of

cos 60^{°}× cos 30^{°} + sin 60^{°}× sin 30^{°}

If sin θ = `4/5` then find cos θ

If cos θ = `15/17` then find sin θ

#### Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry Chapter 8 Trigonometry Exercise Problem Set 8 [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 )

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

Choose the correct alternative answer for following multiple choice question.

2 tan 45^{° }+ cos 45^{° }- sin 45^{° }= ?

0

1

2

3

Choose the correct alternative answer for following multiple choice question.

`[cos 28°]/[sin 62°]`

2

-1

0

1

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.

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.

In right angled Δ LMN , if ∠ N =θ , ∠M = 90°, cos θ =`24/25` , find sin θ and tan θ Similarly, find ( sin^{2}θ) and ( cos^{2}θ).

Fill in the blank.

sin20^{0 } = cos ________ °

Fill in the blank.

tan 30° x tan ______° = 1

Fill in the blank.

cos 40° = sin ______°

## Chapter 8: Trigonometry

## Balbharati solutions for Maharashtra state board Class 9 Mathematics 2 Geometry chapter 8 - Trigonometry

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Concepts covered in Maharashtra state board Class 9 Mathematics 2 Geometry chapter 8 Trigonometry are Introduction to Trigonometry, Terms related to right angled triangle, Trigonometric Ratios of an Acute Angle of a Right-angled Triangle, Important Equation in Trigonometry, Trigonometry Table, Relation among trigonometric ratios.

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