Which of the following values of a and b...

Which of the following values of a and b will make `a(sin^(6)theta+cos^(6)theta)-b(sin^(4)theta+cos^(4)theta)` independent of `theta` ?

Text Solution

AI Generated Solution

Topper's Solved these Questions

TEST PAPER
ALLEN|Exercise MATHEMATICS|25 Videos
TEST PAPER
ALLEN|Exercise PHYSICS SECTION-I|2 Videos
TEST PAPER
ALLEN|Exercise Chemistry|54 Videos
SEQUENCE AND PROGRESSION
ALLEN|Exercise Exercise (JA)|12 Videos
TEST PAPERS
ALLEN|Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta) is equal to

2(sin^(6) theta + cos^(6)theta) - 3(sin^(4)theta + cos^(4)theta)+ 1 = 0

Prove that sin^(4)theta-cos^(4)theta=sin^(2)theta-cos^(2)theta .

The value for 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta) +1 is

Find the value of 6(sin^6theta+cos^6theta)-9(sin^4theta+cos^4theta)+4

cos^(4)theta-sin^(4)theta is equal to

If sin^(6)theta+cos^(6) theta-1= lambda sin^(2) theta cos^(2) theta , find the value of lambda .

Prove that : sin^(2)theta+cos^(4)theta=cos^(2)theta+sin^(4)theta

Prove that cos^6 theta+ sin^6 theta= 1-3sin^2 theta cos^2 theta

(1)/( sec 2 theta) = cos ^(4) theta - sin ^(4) theta.

ALLEN-TEST PAPER-MATHS

|{:(,"List-I(Atom/Ions)",,"List-II(Electron Affinity in eV/atom and co...
Text Solution
|
|{:(,"List-I(Orbitals)",,"List-II"),(,"(Approach axis is z-axis)",,"(T...
Text Solution
|
Which of the following values of a and b will make a(sin^(6)theta+cos^...
Text Solution
|
Which of the following expression gives rational values ?
Text Solution
|
Find the root of the equation |x-1|^(x^(2)+x-2)=1
Text Solution
|
A circumcircle is a circle which passes through all vertices of a tria...
Text Solution
|
A circumcircle is a circle which passes through all vertices of a tria...
Text Solution
|
If sec theta+tan theta=(1)/(2) The value of sec theta=
Text Solution
|
If sec theta+tan theta=(1)/(2) The value of tan theta =
Text Solution
|
If alpha and beta are roots of equation (log(3)x)^(2)-4(log(3)x)+2=0 t...
Text Solution
|
If alpha and beta are roots of equation (log(3)x)^(2)-4(log(3)x)+2=0 t...
Text Solution
|
Let alpha and beta be the roots of the equation x^2+(2-costheta)x-(1+c...
Text Solution
|
If 2p=x+1/x and 2q=y+1/y, then the value of ((pq+sqrt((p^2-1)(q^2-1)))...
Text Solution
|
Let P be minimum value of 9sin^2x+16cosec^2x and S be the minimum valu...
Text Solution
|
The values of a for which the equation 2(log(3)x)^(2)-|log(3)x|+a=0 po...
Text Solution
|
Number of integers satisfying the inequality log((x+3))(x^2-x) lt 1 is
Text Solution
|
If x and y are positive real numbers such that x^3+8y^3+24xy=64 , then...
Text Solution
|
Select correct set of quantum numbers of electron have lowest energy
Text Solution
|
Which of the following oxide is most acidic ?
Text Solution
|
The expression sqrt(6+2sqrt3+2sqrt2+2sqrt6)-sqrt(3-2sqrt2) simplifies ...
Text Solution
|