Maths-

General

Easy

Question

# The number of distinct real roots of in the interval is

- 0
- 2
- 1
- 3

## The correct answer is: 1

### Related Questions to study

maths-

If , then the number of real values of x, which satisfy the equation is :

If , then the number of real values of x, which satisfy the equation is :

maths-General

maths-

### The number of solutions of the equation in the interval is

### The number of solutions of the equation in the interval is

maths-General

maths-

The possible values of such that are :

The possible values of such that are :

maths-General

maths-

### The number of values of x in the interval [0, 3] satisfying the equation , is

### The number of values of x in the interval [0, 3] satisfying the equation , is

maths-General

maths-

The number of solutions of tan x + sec x = 2 cos x in [0, 2], is

The number of solutions of tan x + sec x = 2 cos x in [0, 2], is

maths-General

maths-

Over the solution of is

Over the solution of is

maths-General

maths-

### Solution to inequality cos 2x + 5 cos x + 3 ≥ 0 over is

### Solution to inequality cos 2x + 5 cos x + 3 ≥ 0 over is

maths-General

maths-

### Let The sum of all the solutions of f (x) = 0 in [0, 100p] is

### Let The sum of all the solutions of f (x) = 0 in [0, 100p] is

maths-General

maths-

### The general solution of the trigonometric equation tan x + tan 2x + tan 3x = tan x · tan 2x tan 3x is

where n I

We know that

tan x · tan 2x · tan 3x = tan 3x – tan 2x – tan x

hence tan x + tan 2x + tan 3x = tan 3x – tan 2x – tan x

Þ tan x + tan 2x = 0

\ tan 2x = tan (– x)

2x = np – x

tan x · tan 2x · tan 3x = tan 3x – tan 2x – tan x

hence tan x + tan 2x + tan 3x = tan 3x – tan 2x – tan x

Þ tan x + tan 2x = 0

\ tan 2x = tan (– x)

2x = np – x

### The general solution of the trigonometric equation tan x + tan 2x + tan 3x = tan x · tan 2x tan 3x is

where n I

maths-General

We know that

tan x · tan 2x · tan 3x = tan 3x – tan 2x – tan x

hence tan x + tan 2x + tan 3x = tan 3x – tan 2x – tan x

Þ tan x + tan 2x = 0

\ tan 2x = tan (– x)

2x = np – x

tan x · tan 2x · tan 3x = tan 3x – tan 2x – tan x

hence tan x + tan 2x + tan 3x = tan 3x – tan 2x – tan x

Þ tan x + tan 2x = 0

\ tan 2x = tan (– x)

2x = np – x

maths-

### The sum of all the solution of cotθ= sin 2θ(θ ≠ n, n integer), 0 , is

For the given relation cos q = (2 sin q cos q) sin q, sin q¹ 0

Then the sum of roots is 3p/2

Then the sum of roots is 3p/2

### The sum of all the solution of cotθ= sin 2θ(θ ≠ n, n integer), 0 , is

maths-General

For the given relation cos q = (2 sin q cos q) sin q, sin q¹ 0

Then the sum of roots is 3p/2

Then the sum of roots is 3p/2

Maths-

Maths-General

Maths-

Maths-General

maths-

maths-General

maths-

maths-General

Maths-

Let 7x

Maths-General

Let 7x