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The general solution of the equation sin...

The general solution of the equation `sin^4x + cos^4x= sinx cos x` is

A

`((4n+1)pi)/(4) , n in 1`

B

`((6n +1)pi)/(6), n in 1`

C

`((4n +1)pi)/(4) , n in 1`

D

`n pi, n in 1`

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The correct Answer is:
C
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FIITJEE-MATHEMATICS -ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)
  1. The equation "sin"^(6) x + "cos"^(6) x = lambda, has a solution if

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  2. Find all the values of alpha for which the equation sin ^(4) x+ cos^(4...

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  3. The general solution of the equation sin^4x + cos^4x= sinx cos x is

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  4. The number of values of x between 0 and 2pi satisfying the equation 2c...

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  5. If A = cos ^(2) alpha + cos ^2(alpha + beta)- 2 cos alpha cos beta c...

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  6. If the angle A of a triangle ABC is given by the equation 5 cos A + 3 ...

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  7. If 1 < x < sqrt2, then number of solutions of the equation tan^-1(x-1)...

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  8. The value of sin ^(-1) (-(1)/(sqrt2)) + cos ^(-1) (-(1)/(2)) - tan ^(-...

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  9. solve sin^(-1) (sin 5) gt x^(2) - 4x

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  10. If A = tan 1 and B =tan ^(-1) 1 then

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  11. If cos^-1p+cos^-1q+cos^-1r=pi(0 <= p,q,r <= 1). then the value of p^2...

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  12. If A=sin[cot^(-1) { cos(tan^(-1) x)}], then

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  13. tan^(- 1)x+tan^(- 1)\ (2x)/(1-x^2)=pi+tan^(- 1)\ (3x-x^3)/(1-3x^2),(x ...

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  14. The numerical value of tan (cos ^(-1) "" (4)/(5) + tan ^(-1)"" (2)/(3)...

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  15. Solve the equation sin^(-1)y x+sin^(-1)6sqrt(3)x=(-pi)/2dot

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  16. Value of sin{tan^(-1)x+tan^(-1) (1/x)} is

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  17. If a sectheta = 1 -b tan theta and a^2 sec^2 theta = 5 + b^2 tan^2 the...

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  18. If tan alpha = (1)/(sqrt (x (x ^(2) + x + 1))). tan beta = (sqrtx)/(sq...

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  19. If int (0) ^(y) cos t ^(2) dt= int (0) ^(x ^(2)) (sint)/(t ) dt then ...

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  20. If tan theta.tan phi = sqrt ((a -b)/(a +b)), then (a -b cos 2 theta)(...

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