Selina solutions concise maths class 9 icse Solutions for Chapter 22 chapter 22 trigonometrical ratios

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

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

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 – ?/ ????C

From the following figure, find the values of :

(i) sin B

(ii) tan C

(iii) sec2 B – tan2B

(iv) sin2C + cos2C

Given: sin A = 3/5 , find :

(i) tan A

(ii) cos A

From the following figure, find the values of :

(i) sin A

(ii) sec A

(iii) cos2 A + sin2A

Given: cos A = 5 / 13

Evaluate:

Given: sec A = 29/21, evaluate : sin A – (1/tan A)

Given: tan A = 4/3, find:

Given: 4 cot A = 3 find;

(i) sin A

(ii) sec A

(iii) cosec2 A – cot2A.

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

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

Given: sin ? = p/q

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

If cos A = ½ and sin B = 1/√?, find the value of :

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

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

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

If cosec ? = √?, find the value of:

(i) 2 – sin2? -cos2?

(ii)

If sec A = √?, find the value of :

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

In the following figure:

AD BC, AC = 26 CD = 10, BC = 42,

∠ DAC = x and ∠ B = y.

Concise Selina Solutions for Class 9 Maths Chapter 22-

Trigonometrical Ratios

Find the value of :

(i) cot x

From the following figure, find:

(i) y

Use the given figure to find:

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

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

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

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

Using the measurements given in the following figure:

(i) Find the value of sinΦ and tanθ.

(ii) Write an expression for AD in terms of θ

In the given figure;

BC = 15 cm and sin B = 4/5

(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/ cos2B = -1

If sin A + cosec A = 2;

Find the value of sin2 A + cosec2 A.

If tan A + cot A = 5;

Find the value of tan2 A + cot2 A.

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

(i) sin ?

(ii) cos ?

(iii) cot2 ? – cosec2 ?.

(iv) 4 cos2 ? – 3 sin2 ? + 2

Given : 17 cos ? = 15;

Find the value of tan ? + 2sec ?.

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

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

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

(i) cos A

(ii) 3 – cot2 A + cosec2A

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 side and the diagonals of the rhombus.

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

(i) cos B

(ii) sin C

(iii) tan2 B – sec2 B + 2

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.

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

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

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

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

Use the information given in the following figure to evaluate:

10/sin x + 6/sin y – 6cot y

If sec A = √?,

find:

If 5 cos ? = 3,

cosec ? – cot ? / cosec ? + cot ?

find:

If cosec A + sin A = 5(?)/ (?) , find the value of cosec2A + sin2A

If 5 cos ? = 6 sin ? ; evaluate:

(i) tan ?

(ii) 12 sin ? – 3 cos ?/ 12 sin ? + 3 cos ?