Trigonometrical Ratios Class-9 Concise ICSE Mathematics Selina Solutions Chapter-22 .  We provide step by step Solutions of Exercise / lesson-22 Trigonometrical Ratios for ICSE Class-9 Concise Selina Mathematics by R K Bansal.

Our Solutions contain all type Questions with Exe-22 A and Exe-22 B, to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-9 Mathematics .

Trigonometrical Ratios Class-9 Concise ICSE Mathematics Selina Solutions Chapter-22

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–: Select Topics :–

 Exe-22 A,

Exe-22 B,

 

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Exercise 22 (A), Trigonometrical Ratios Class-9 Concise ICSE Mathematics Selina Solutions

Question 1

From the following figure, find the values of :

(i) sin A

(ii) cos A

(iii) cot A

(iv) sec C

(v) cosec C

(vi) tan C.

Answer

Question 2

Form the following figure, find the values of :

(i) cos B

(ii) tan C

(iii) sin²B + cos²B

(iv) sin B. cos C + cos B. sin C

Answer

Question 3

From the following figure, find the values of :

(i) cos A (ii) cosec A

(iii) tan²A – sec²A (iv) sin C

(v) sec C (vi) cot² C – 1/sin² C

Answer

Question 4

From the following figure, find the values of :

(i) sin B (ii) tan C

(iii) sec² B – tan²B (iv) sin²C + cos²C

Answer

Question 5

Given: sin A = 3/5 , find :

(i) tan A(ii) cos A

Answer

Question 6

From the following figure, find the values of :

(i) sin A

(ii) sec A

(iii) cos² A + sin²A

Answer

Question 7

Given: cos A = 5/13

Evaluate: (i)( sin A – Cot A ) /2 Tan A (ii) cot A+ (1 / cos A)

Answer

Question 8

Given: sec A =29/11 , evaluate : sin A – 1/ Tan A

Answer

Question 9

Given: tan A =4/3  , find : cosecA/( cot A-sec A)

Answer

Question 10

Given: 4 cot A = 3 find;

(i) sin A

(ii) sec A

(iii) cosec² A – cot²A.

Answer

Question 11

Given: cos A = 0.6; find all other trigonometrical ratios for angle A.

Answer

Question 12

In a right-angled triangle, it is given that A is an acute angle and tan A =. 5/12

find the value of :

(i) cos A(ii) sin A(iii)  c(os A + sin A) / (cos A – Sin A)

Answer

Question 13

Given: sin θ =p/q

Find cos θ + sin θ in terms of p and q.

Answer

Question 14

If cos A =1/2  and sin B 1/ √2 = , find the value of : .

Tan A – Tan B / ( 1+tan A . Tan B)

Are angles A and B from the same triangle? Explain.

Answer

Question 15

If 5 cot θ = 12, find the value of : Cosec θ + sec  θ

Answer

Question 16

If tan x = 1 1/3, find the value of : 4 sin²x – 3 cos²x + 2

Answer

Question 17

If cosec θ= √5, find the value of:

(i) 2 – sin²  θ- cos² θ

(ii) ……….

Answer

Question 18

If sec A√2 = , find the value of :…………

Answer

Question 19

If cot = 1; find the value of: 5 tan² + 2 sin² – 3

Answer

Question 20

In the following figure:

AD BC, AC = 26 CD = 10, BC = 42,

DAC = x and B = y.

Find the value of :

(i) cot x

(ii) …………

(iii) ………….

Answer

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Trigonometrical Ratios Class-9 Concise ICSE Mathematics Selina Solutions Exercise 22(B)

Question 1

From the following figure, find:

(i) y (ii) sin x^o

(iii) (sec x^o – tan x^o) (sec x^o + tan x^o)

 

Answer

Question 2

Use the given figure to find:

(i) sin x^o (ii) cos y^o

(iii) 3 tan x^o – 2 sin y^o + 4 cos y^o.

Answer

Question 3

In the diagram, given below, triangle ABC is right-angled at B and BD is perpendicular to AC. Find:

(i) cos DBC (ii) cot DBA

 Answer

Question 4

In the given figure, triangle ABC is right-angled at B. D is the foot of the perpendicular from B to AC. Given that BC = 3 cm and AB = 4 cm. find:

(i) tan DBC

(ii) sin DBA

Answer

Question 5

In triangle ABC, AB = AC = 15 cm and BC = 18 cm, find cos ABC.

Answer

Question 6

In the figure given below, ABC is an isosceles triangle with BC = 8 cm and AB = AC = 5 cm. Find:

(i) sin B (ii) tan C

(iii) sin² B + cos²B (iv) tan C – cot B

Answer

Question 7

In triangle ABC; ABC = 90^o, CAB = x^o, tan x^o = and BC = 15 cm. Find the measures of AB and AC.

Answer

Question 8

Using the measurements given in the following figure:

(i) Find the value of sin and tan.

(ii) Write an expression for AD in terms of

Answer

Question 9

In the given figure;

BC = 15 cm and sin B =.

(i) Calculate the measure of AB and AC.

(ii) Now, if tan ADC = 1; calculate the measures of CD and AD.

Also, show that: tan²B – 1/cos² B    = -1

Answer

Question 10

If sin A + cosec A = 2;

Find the value of sin² A + cosec² A.

Answer

Question 11

If tan A + cot A = 5;

Find the value of tan² A + cot² A.

Answer

Question 12

Given: 4 sin = 3 cos ; find the value of:

(i) sin (ii) cos

(iii) cot² – cosec².

(iv) 4 cos²– 3 sin²+ 2

Answer

Question 13

Given : 17 cos = 15;

Find the value of: tan + 2 sec.

Answer

Question 14

Given : 5 cos A – 12 sin A = 0; evaluate  :

………….

Answer

Question 15

In the given figure; C = 90^o and D is mid-point of AC. Find

(i)  tan CAB / Tan CDB (ii) Tan ABC / Tan CDB

Answer

Question 16

If 3 cos A = 4 sin A, find the value of :

(i) cos A (ii) 3 – cot² A + cosec²A.

Answer

Question 17

In triangle ABC, B = 90^o and tan A = 0.75. If AC = 30 cm, find the lengths of AB and BC.

Answer

Question 18

In rhombus ABCD, diagonals AC and BD intersect each other at point O.

If cosine of angle CAB is 0.6 and OB = 8 cm, find the lengths of the the side and the diagonals of the rhombus.

Answer

Question 19

In triangle ABC, AB = AC = 15 cm and BC = 18 cm. Find:

(i) cos B (ii) sin C

(iii) tan² B – sec² B + 2

Answer

Question 20

In triangle ABC, AD is perpendicular to BC. sin B = 0.8, BD = 9 cm and tan C = 1. Find the length of AB, AD, AC and DC.

Answer

Question 21

Given q tan A = p, find the value of :

…………….

Answer

Question 22

If sin A = cos A, find the value of 2 tan²A – 2 sec² A + 5.

Answer

Question 23

In rectangle ABCD, diagonal BD = 26 cm and cotangent of angle ABD = 1.5. Find the area and the perimeter of the rectangle ABCD.

Answer

Question 24

If 2 sin x = , evaluate.

(i) 4 sin³ x – 3 sin x.

(ii) 3 cos x – 4 cos³ x.

Answer

Question 25

If sin A = √3/2 and cos B =  √3/2, find the value of : .

………………

Answer

Question 26

Use the information given in the following figure to evaluate:

……………. 6 cot y

Answer

Question 27

If sec A = √2 , find: ………….

Answer

Question 28

If 5 cos  = 3, evaluate : …………

Answer

Question 29

If cosec A + sin A = 5,1/5 find the value of cosec²A + sin²A.

Answer

Question 30

If 5 cos  = 6 sin ; evaluate:

(i) tan θ (ii) ………..

Answer

 

— End of Trigonometrical Ratios Class-9 Concise Selina Solutions :–

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