RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 17. Trigonometric Equations

Subject: Maths - Class 11th

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Exercise 17

1

Find the principal solutions of each of the following equations:

(i)


(ii)


(iii)


(iv)


(v)


(vi)


2

Find the principal solutions of each of the following equations :

(i)


(ii)


(iii) tan x = -1


(iv)


(v)


(vi)


3

Find the general solution of each of the following equations:

(i) sin 3x = 0


(ii)


(iii)


(iv) cos 2x = 0


(v)


(vi)


(vii) tan 2x = 0


(viii)


(ix)


4

Find the general solution of each of the following equations:

(i)


(ii) cos x = 1


(iii)


5

Find the general solution of each of the following equations:

(i)


(ii)


(iii) tan x = -1
6

Find the general solution of each of the following equations:

(i)


(ii)


(iii)


7

Find the general solution of each of the following equations:

(i) sec 3x = -2


(ii) cot 4x = -1


(iii)


8

Find the general solution of each of the following equations:

(i) 4cos2 x = 1


(ii) 4sin2 x – 3 = 0


(iii) tan2 x = 1
9

Find the general solution of each of the following equations:

(i) cos 3x = cos 2x


(ii) cos 5x = sin 3x


(iii) cos mx = sin nx
10

Find the general solution of each of the following equations:

sin x = tan x
11

Find the general solution of each of the following equations:

4sin x cos x + 2sin x + 2cos x + 1 = 0
12

Find the general solution of each of the following equations:

sec2 2x = 1- tan 2x
13

Find the general solution of each of the following equations:

tan3 x – 3tan x = 0
14

Find the general solution of each of the following equations:

sin x + sin 3x + sin 5x = 0
15

Find the general solution of each of the following equations:

sin x tan x – 1 = tan x – sin x
16

Find the general solution of each of the following equations:

cos x + sin x = 1
17

Find the general solution of each of the following equations:

cos x – sin x = -1
18

Find the general solution of each of the following equations:

cos x + sin x = 1
19

Find the general solution of each of the following equations:

2 tan x – cot x + 1 = 0
20

Find the general solution of each of the following equations:

sin x tan x – 1 = tan x – sin x
21

Find the general solution of each of the following equations:

cot x + tan x = 2 cosec x