The solution of 4sin^2x+tan^2x+cos e c^2...

The solution of `4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z)` (a) `npi+-pi/4` (b) `2npi+-pi/4` `npi+pi/3` (d) `npi-pi/6`

A

`npi pm pi/4`

B

`2n pi pm pi/4`

C

`n pi+pi/3`

D

`n pi-pi/6`

Text Solution

Verified by Experts

The correct Answer is:

A

`(2 sin x-cosec x)^(2)+(tan x-cot x)^(2)=0`
`rArr sin^(2) x=1/2 and tan^(2) x=1`
`rArr x=n pi pm pi/4, n in Z`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

TRIGONOMETRIC EQUATIONS
CENGAGE ENGLISH|Exercise Exercises (Multiple correct type)|31 Videos
TRIGONOMETRIC EQUATIONS
CENGAGE ENGLISH|Exercise Exercises (Linked comprehension type)|20 Videos
TRIGONOMETRIC EQUATIONS
CENGAGE ENGLISH|Exercise Concept Application Exercise 4.9|6 Videos
THREE-DIMENSIONAL GEOMETRY
CENGAGE ENGLISH|Exercise ARCHIVES INTEGER TYPE|1 Videos
TRIGONOMETRIC FUNCTIONS
CENGAGE ENGLISH|Exercise SINGLE CORRECT ANSWER TYPE|38 Videos

Similar Questions

Explore conceptually related problems

A general solution of tan^2theta+cos2theta=1 is (n in Z) npi=pi/4 (b) 2npi+pi/4 npi+pi/4 (d) npi

Which of the following sets can be the subset of the general solution of 1+c o s3x=2cos2x(n in Z)? (a) npi+pi/3 (b) npi+pi/6 (c) npi-pi/6 (d) 2npi

Which of the following sets can be the subset of the general solution of 1+c a s3x=2cos2x(n in Z)? npi+pi/3 (b) npi+pi/6 npi-pi/6 (d) 2npi

The general values of theta satisfying the equation 2sin^2theta-3sintheta-2=0 is (n in Z)dot npi+(-1)^npi/6 (b) npi+(-1)^npi/2 npi+(-1)^n(5pi)/6 (d) npi+(-1)^n(7pi)/6

The general solution of the equation sinx-3sin2x+sin3x=cosx-3cos2x+cos3x is (n in Z) npi+pi/8 (b) (npi)/2+pi/8 (-1)^n(npi)/2+pi/8 (d) 2npi+cos^(-1)2/3

If 4sin^4x+cos^4x=1 ,then x is equal to (n in Z) (a) npi (b) npi+-sin^(-1)sqrt(2/5) (c) (2npi)/3 (d) 2npi+-pi/4

The general solution of the equation sin^(100)x-cos^(100)x=1 is (a) 2npi+pi/3,n in I (b) n pi+pi/2,n in I (c) npi+pi/4,n in I (d) 2npi=pi/3,n in I

Let tanx-tan^2x >0 and |2sinx| x > npi,n in Z (b) x > npi-pi/6,n in Z x

Let tanx-tan^2x >0 and |2sinx| npi,n in Z (b) x > npi-pi/6,n in Z x

General solution for |sinx|=cosx is (a) 2npi+pi/4,\ n in I (b) 2npi+-pi/4, n in 1 (c) npi+pi/4,\ n in 1 (d) none of these

CENGAGE ENGLISH-TRIGONOMETRIC EQUATIONS-Exercises (Single Correct Answer Type)

If 3tan(theta-15^0)=tan(theta+15^0), then theta is equal to n in Z) ...
Text Solution
|
If tan 3 theta + tan theta =2 tan 2 theta, then theta is equal to (n i...
Text Solution
|
The solution of 4sin^2x+tan^2x+cos e c^2x+cot^2x-6=0i s(n in Z) (a) ...
Text Solution
|
If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then
Text Solution
|
The general solution of 4 sin^4 x + cos^4x= 1 is
Text Solution
|
For n in Z , the general solution of (sqrt(3)-1)sintheta+(sqrt(3)+1)c...
Text Solution
|
The value of cosycos(pi/2-x)-cos(pi/2-y)cosx+sinycos(pi/2-x)+cosxsin(p...
Text Solution
|
One of the general solutions of 4 sin theta sin 2 theta sin 4 theta=si...
Text Solution
|
The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...
Text Solution
|
The total number of solutions of cos x= sqrt(1- sin 2x) in [0, 2pi] is...
Text Solution
|
The total number of solution of |cotx|=cotx+1/(sinx),x in [0,3pi] , is...
Text Solution
|
Let alphaa n dbeta be any two positive values of x for which 2cosx ,|c...
Text Solution
|
The number of values of theta satisfying 4 cos theta+3 sin theta=5 as ...
Text Solution
|
The general solution of cos x cos 6x =-1 is
Text Solution
|
The number of solution the equation cos(theta)cos(pitheta)=1 has 0 (b)...
Text Solution
|
Let theta in [0,4pi] satisfy the equation (sintheta+2)(sintheta+3)(sin...
Text Solution
|
The number of solutions of sum(r=1)^5cosrx=5 in the interval [0,2pi] i...
Text Solution
|
If cos 3x+sin (2x-(7pi)/6)=-2, then x is equal to (k in Z)
Text Solution
|
The general solution of the equation sin^(100)x-cos^(100)x=1 is (a)2np...
Text Solution
|
The sum of all the solution in [0,4pi] of the equation tanx+cotx+1=cos...
Text Solution
|