## Maharashtra State Board Class 9 Maths Solutions Chapter 8 Trigonometry Practice Set 8.1

Question 1.

In the given figure, ∠R is the right angle of ∆PQR. Write the following ratios.

i. sin P

ii. cos Q

iii. tan P

iv. tan Q

Solution:

Question 2.

In the right angled ∆XYZ, ∠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.

Solution:

Question 3.

In right angled ∆LMN, ∠LMN = 90°, ∠L = 50° and ∠N = 40°. Write the following ratios.

i. sin 50°

ii. cos 50°

iii. tan 40°

iv. cos 40°

Solution:

Question 4.

In the given figure, ∠PQR = 90°, ∠PQS = 90°, ∠PRQ = α and ∠QPS = θ. Write the following trigonometric ratios.

i. sin α, cos α , tan α

ii. sin θ, cos θ, tan θ

Solution:

i. In ∆PQR,

ii. In ∆PQS,

**Maharashtra Board Class 9 Maths Chapter 8 Trigonometry Practice Set 8.1 Intext Questions and Activities**

Question 1.

In the figure gIven below, ∆PQR is a right angled triangle. Write the names of sides opposite and adjacent to ∠P and ∠R. (Textbook pg no. 102)

Solution:

In right angled ∆PQR,

i. side opposite to ∠P = QR

ii. side opposite to ∠R = PQ

iii. side adjacent to ∠P = PQ

iv. side adjacent to ∠R = QR