## Chapter 26 - Trigonometrical Ratios Exercise Ex. 26.1

Question 1
Solution 1

Question 2
Solution 2
Question 3
Solution 3
Question 4
Solution 4
Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8
Solution 8
Question 9
Solution 9
Question 10
In the given figure, PQR is a triangle, in which QS ⏊ PR, QS = 3 cm, PS = 4 cm and QR = 12 cm, find the value of:
1. sin P
2. cot2 P - cosec2 P
3. 4sin2 R - 1/tan2 P

Solution 10
Question 11
In an isosceles triangle ABC, AB = BC = 6 cm and ∠B = 90°. Find the values of
a. cos C
b. cosec C
c. cos2 C + cosec2 C
Solution 11

Question 12
In the given figure, AD is the median on BC from A. If AD = 8 cm and BC = 12 cm, find the value of
a.sin x
b.cos y
c.tan x. cot y
d.
Solution 12

Question 13
In a right-angled triangle PQR, ∠PQR = 90°, QS ⏊ PR and tan R =, find the value of
a. sin ∠PQS
b. tan ∠SQR
Solution 13

Question 14
Solution 14
Question 15
Solution 15

Question 16
Solution 16

Question 17
In the given figure, AC = 13cm, BC = 12 cm and B = 90o. Without using tables, find the values of:

Solution 17
Question 18
In tan Ө = 1, find the value of 5cot2Ө + sin2Ө - 1.
Solution 18

Question 19
Solution 19
Question 20
In the given figure, AD is perpendicular to BC. Find:
a.5 cos x
b.15 tan y
c.5 cos x - 12 sin y + tan x
d.
Solution 20

Question 21
In a right-angled triangle ABC, ∠B = 90°, BD = 3, DC = 4, and AC = 13. A point D is inside the triangle such as ∠BDC = 90°.

Find the values of
a. 2 tan ∠BAC - sin ∠BCD
b. 3 - 2 cos ∠BAC + 3 cot ∠BCD
Solution 21
Question 22
Solution 22
Question 23
If 4 sin Ө = 3 cosӨ, find
a.tan2Ө + cot2Ө
b.
Solution 23
Question 24
Solution 24
Question 25
Solution 25
Question 26
Solution 26
Question 27
Solution 27

Question 28
Solution 28
Question 29
If 35 sec Ө = 37, find the value of sin Ө - sin Ө tan Ө.
Solution 29

Question 30
Solution 30
Question 31
Solution 31
Question 32
Solution 32
Question 33
Solution 33
Question 34
Solution 34
Question 35
Solution 35
Question 36
Solution 36
Question 37
Solution 37
Question 38
Solution 38
Question 39
Solution 39
Question 40
Solution 40
Question 41
Solution 41