If costheta+sectheta=-2, theta in [0,2pi...

If `costheta+sectheta=-2, theta in [0,2pi]` then `sin^8theta+cos^8theta` is equal to

`-2`

`2^(4)`

`2^(5)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

TRIGNOMETRIC FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise Section-C (Objective Type Questions More than one options are correct )|45 Videos
TRIGNOMETRIC FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise Section D (Linked Comprehension Type Questions)|27 Videos
TRIGNOMETRIC FUNCTIONS
AAKASH INSTITUTE ENGLISH|Exercise Assignment Section-B (Objective Type Questions (One option is correct))|1 Videos
THREE DIMENSIONAL GEOMETRY
AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT SECTION - J|10 Videos
VECTOR ALGEBRA
AAKASH INSTITUTE ENGLISH|Exercise SECTION-J (Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If sin theta+ cosec theta =2, then the value of sin^8 theta + cosec^8 theta is equal to

If tan((pi)/(2) sin theta )= cot((pi)/(2) cos theta ) , then sin theta + cos theta is equal to

If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

If 4costheta-3sectheta=2tantheta , then theta is equal to

if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)

The value of sin^(8)theta+cos^(8)theta+sin^(6)theta cos^(2)theta+3sin^(4)theta cos^(2)theta+cos^(6)theta sin^(2)theta+3sin^(2)thetacos^(4)theta is equal to

If f (theta) = [[cos^(2) theta , cos theta sin theta,-sin theta],[cos theta sin theta , sin^(2) theta , cos theta ],[sin theta ,-cos theta , 0]] ,then f ( pi / 7) is

If f(theta)=|(cos^(2)theta ,cos theta sin theta, -sin theta),(cos theta sin theta, sin^(2)theta,cos theta),(sin theta,-cos theta,0)| then, f((pi)/(6))+f((pi)/(3))+f((pi)/(2))+f((2pi)/(3))+f((5pi)/(6))+f(pi)+……+f((53pi)/(6)) is equal to

The minimum value of 8(cos2theta+cos theta) is equal to

AAKASH INSTITUTE ENGLISH-TRIGNOMETRIC FUNCTIONS -Section-B (Objective Type Questions One option is correct)

The angles of a triangle are in AdotPdot The number of degrees in the ...
Text Solution
|
If ABCD is a cyclic quadrilateral such that 12tanA-5=0 and 5cosB+3=0 t...
Text Solution
|
If costheta+sectheta=-2, theta in [0,2pi] then sin^8theta+cos^8theta i...
Text Solution
|
If the maximum value of cos(cosx) is a and minimum value is b, then
Text Solution
|
If (2sinA)/(1+sinA+cosA)=k then (1+sinA-cosA)/(1+sinA)=
Text Solution
|
If sinx+sin^2x=1," then the value of "cos^12x+3cos^10x+3cos^8x+cos^6x-...
Text Solution
|
If sum(r=15)^29(cos(rpi/2+theta)=S1 and sum(r=15)^29(sin(rpi/2+theta)...
Text Solution
|
The maximum value of cos^(2)(cos(33pi + theta))+sin^(2)(sin(45pi+theta...
Text Solution
|
If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then
Text Solution
|
If asin^2theta+bcos^2theta=m, bsin^2phi+acos^2phi=n, atantheta=btanphi...
Text Solution
|
The value of tan((5pi)/12)-tan(pi/12) is
Text Solution
|
If sin alpha+sin beta=a and cos alpha-cos beta=b then tan((alpha-beta)...
Text Solution
|
If tanalpha=(sqrt(3)+1)/(sqrt(3)-1), then the expression cos 2alpha +(...
Text Solution
|
If 0 lt theta(2) lt theta(1) lt pi/4, cos (theta(1) + theta(2)) = 3/5 ...
Text Solution
|
If sintheta=1/2, cosphi=1/3 then theta+phi belongs to, where 0<theta ,...
Text Solution
|
The range of f(theta)=3cos^2theta-8sqrt(3) cos theta sin theta + 5 sin...
Text Solution
|
Find the maximum value of 1+sin((pi)/(4)+theta) +2sin ((pi)/(4)-thet...
Text Solution
|
The value of cos(pi/4)*cos(pi/8)*cos(pi/16)....cos(pi/(2^n)) equals
Text Solution
|
tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =
Text Solution
|
tanA +tanB + tanC = tanA tanB tanC if
Text Solution
|