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3(sintheta-costheta)^(4)+6(sintheta+cost...

`3(sintheta-costheta)^(4)+6(sintheta+costheta)^(2)+4(sin^(6)theta+cos^(6)theta)=?`

A

`13-4cos^(6)theta`

B

`13-4cos^(4)theta+2sin^(2)cos^(2)theta`

C

`13-4cos^(2)theta+6cos^(4)theta`

D

`13-4cos^(2)theta+6sin^(2)thetacos^(2)theta`

Text Solution

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ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (JM)
  1. If 5(tan^2x - cos^2x)=2cos 2x + 9, then the value of cos4x is

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  2. 3(sintheta-costheta)^(4)+6(sintheta+costheta)^(2)+4(sin^(6)theta+cos^(...

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  3. The value of cos(pi/2^(2)).cos(pi/2^(3))……….cos(pi/2^(10)).sin(pi/2^(1...

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  4. Let fk(x) = 1/k(sin^k x + cos^k x) where x in RR and k gt= 1. Then f4(...

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  5. The maximum values of 3 costheta+5sin(theta-(pi)/(6)) for any real val...

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  6. If cos(alpha+beta)=3/5, sin(alpha-beta)=5/13, and 0 lt alpha, beta lt ...

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  7. The value of cos^2 10^0-cos10^0cos50^0+cos^2 50^0 is equal to 4/3 (b)...

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  8. The value of sin 10.sin 30. sin 50.sin 70 is

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  9. If 0 <= x < 2pi, then the number of real values of x, which satisfy th...

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  10. If the sum of all the solutions of the equation 8 cosx.(cos(pi/6+x)cos...

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  11. If 0lexltpi/2, then the number of values of x for which sinx-sin2x+sin...

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  12. The sum of all values of theta in (0,pi/2) satisfying sin^(2)2theta+co...

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  13. Let S = { theta in [-2pi,2pi]:2 cos^(2) theta + 3 sin theta = 0}, the...

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  14. All the pair (x,y) that satisfy the inequality 2^(sqrt(sinx-2sinx+5))....

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  15. The number of solutions of the equation 1 +sin^(4) x = cos ^(2) 3x, ...

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  16. Let S be the set of all alpha in R such that the equation, cos 2x + a...

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