**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 xii. tan ziii. cos xiv. 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 αii. sin θ, cos θ, tan θSolution:**

i. In ∆PQR,

ii. In ∆PQS,

**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