Chapter 26 : Trigonometrical Ratios - Frank Solutions for Class 9 Maths ICSE

Mathematics in ICSE Class 9 is one of the most challenging and trickiest subjects of all. It includes complex topics such as logarithms, expansions, indices and Pythagoras Theorem which are difficult to understand for an average student. TopperLearning provides study materials for ICSE Class 9 Mathematics to make the subject easy and help students to clear all their concepts. Our study materials comprise numerous video lessons, question banks, revision notes and sample papers which help achieve success in the examination.

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Chapter 26 - Trigonometrical Ratios Excercise 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

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