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

–: Select Topics :–

Exe-22 A,

Exe-22 B,

### 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.  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  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  Question 4

From the following figure, find the values of :

(i) sin B (ii) tan C

(iii) sec2 B – tan2B (iv) sin2C + cos2C  Question 5

Given: sin A = 3/5 , find :

(i) tan A(ii) cos A Question 6

From the following figure, find the values of :

(i) sin A

(ii) sec A

(iii) cos2 A + sin2A Question 7

Given: cos A = 5/13

Evaluate: (i)( sin A – Cot A ) /2 Tan A (ii) cot A+ (1 / cos A)  Question 8

Given: sec A =29/11 , evaluate : sin A – 1/ Tan A  Question 9

Given: tan A =4/3  , find : cosecA/( cot A-sec A)  Question 10

Given: 4 cot A = 3 find;

(i) sin A

(ii) sec A

(iii) cosec2 A – cot2A.  Question 11

Given: cos A = 0.6; find all other trigonometrical ratios for angle A. 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)  Question 13

Given: sin θ =p/q

Find cos θ + sin θ in terms of p and q.  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.  Question 15

If 5 cot θ = 12, find the value of : Cosec θ + sec  θ  Question 16

If tan x = 1 1/3, find the value of : 4 sin2x – 3 cos2x + 2  Question 17

If cosec θ= √5, find the value of:

(i) 2 – sin2  θ- cos2 θ

(ii) ……….  Question 18

If sec A√2 = , find the value of :…………  Question 19

If cot = 1; find the value of: 5 tan2 + 2 sin2 – 3 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) ………….  ### Trigonometrical Ratios Class-9 Concise ICSE Mathematics Selina Solutions Exercise 22(B)

Question 1

From the following figure, find:

(i) y (ii) sin xo

(iii) (sec xo – tan xo) (sec xo + tan xo) Question 2

Use the given figure to find:

(i) sin xo (ii) cos yo

(iii) 3 tan xo – 2 sin yo + 4 cos yo.  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 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  Question 5

In triangle ABC, AB = AC = 15 cm and BC = 18 cm, find cos ABC. 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  Question 7

In triangle ABC; ABC = 90o, CAB = xo, tan xo = and BC = 15 cm. Find the measures of AB and AC.  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 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  Question 10

If sin A + cosec A = 2;

Find the value of sin2 A + cosec2 A. Question 11

If tan A + cot A = 5;

Find the value of tan2 A + cot2 A.  Question 12

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

(i) sin (ii) cos

(iii) cot2 – cosec2.

(iv) 4 cos2– 3 sin2+ 2 Question 13

Given : 17 cos = 15;

Find the value of: tan + 2 sec.  Question 14

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

…………. Question 15

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

(i)  tan CAB / Tan CDB (ii) Tan ABC / Tan CDB Question 16

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

(i) cos A (ii) 3 – cot2 A + cosec2A.  Question 17

In triangle ABC, B = 90o and tan A = 0.75. If AC = 30 cm, find the lengths of AB and BC.  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.  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  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.  Question 21

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

……………. Question 22

If sin A = cos A, find the value of 2 tan2A – 2 sec2 A + 5. 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.  Question 24

If 2 sin x = , evaluate.

(i) 4 sin3 x – 3 sin x.

(ii) 3 cos x – 4 cos3 x.  Question 25

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

………………  Question 26

Use the information given in the following figure to evaluate:

……………. 6 cot y  Question 27

If sec A = √2 , find: ………….  Question 28

If 5 cos  = 3, evaluate : ………… Question 29

If cosec A + sin A = 5,1/5 find the value of cosec2A + sin2A. Question 30

If 5 cos  = 6 sin ; evaluate:

(i) tan θ (ii) ……….. — End of Trigonometrical Ratios Class-9 Concise Selina Solutions :–

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