SELINA Solutions for Class 9 Maths Chapter 25 - Complementary Angles

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Chapter 25 - Complementary Angles Exercise Ex. 25

Question 1(i)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 1(i)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 1(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 1(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 1(iii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 1(iii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 1(iv)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 1(iv)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 1(v)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 1(v)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Question 1(vi)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 1(vi)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 1(vii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 1(vii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 1(viii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 1(viii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 2(i)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 2(i)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 2(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 2(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Question 2(iii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 2(iii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Question 2(iv)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 2(iv)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 2(v)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 2(v)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 2(vi)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 2(vi)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 3(i)

Show that:

tan 10° tan 15° tan 75° tan 80° = 1

Solution 3(i)

L.H.S.

= tan 10° tan 15° tan 75° tan 80°

= tan (90° - 80°) tan (90° - 75°) tan 75° tan 80°

= cot 80° cot 75 ° tan 75° tan 80°

= (cot 80° tan 80°)(cot 75° tan 75°)

= (1)(1)

= 1

= R.H.S.

Question 3(ii)

Show that:

sin 42° sec 48° + cos 42° cosec 48° = 2

Solution 3(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles  

Question 4

Express each of the following in terms of angles between 0°and 45°:

(i) sin 59°+ tan 63°

(ii) cosec 68°+ cot 72°

(iii)cos 74°+ sec 67°

Solution 4

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Question 5

For triangle ABC, show that:

(i) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(ii) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 5

(i) We know that for a triangle Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesABC

 Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesA + Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesB + Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesC = 180°

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(ii) We know that for a triangle Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesABC

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles A + Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesB + Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesC = 180°

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesB + Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesC = 180° - Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesA

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Question 6

Evaluate:

(i) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(iii) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary AnglesSelina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(iv) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(v) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(vi) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(vii) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(viii) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

(ix) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 6

(i)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles


Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

 

(iii) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

 

(iv) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

 

(v) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

 

(vi) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

 

(vii) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

 

(viii) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

 

(ix) Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Question 7

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Solution 7

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles 

Question 8(i)

In each case, given below, find the value of angle A, where 0° A 90°.

sin (90° - 3A).cosec 42° = 1

Solution 8(i)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles

Question 8(ii)

In each case, given below, find the value of angle A, where 0° A 90°.

cos (90° - A).sec 77° = 1

Solution 8(ii)

Selina Solutions Icse Class 9 Mathematics Chapter - Complementary Angles