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The real solutions of the equation cos^(...

The real solutions of the equation `cos^(7)x+sin^(4)x=1` in `(-pi,pi)` are ………….

A

2

B

3

C

4

D

5

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-TRIGNOMETRIC EQUATIONS-LECTURE SHEET (EXERCISE-II (Straight objectives Types Questions)
  1. Number of solution of the equation cos^(4)2x+2sin^(2)2x=17(cosx+sinx)^...

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  2. The value of theta which satisfy r sin theta=3 and r=4(1+sin theta), 0...

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  3. The real solutions of the equation cos^(7)x+sin^(4)x=1 in (-pi,pi) are...

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  4. The number of solutions of equation 6cos 2 theta+2cos^(2)(theta//2)+2s...

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  5. Let 0lt theta(1)lt theta(2)lt theta(3)lt …….. Denote the positive solu...

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  6. The number of roots of the equation 16sec^(3)theta-12tan^(2)theta-4sec...

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  7. If 0 le x le 2 pi, then the number of solution of 3 (sin x + cos x) - ...

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  8. The sum of all the solution is of the equation cos theta cos ((pi)/3+t...

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  9. (sin ^(3) theta - cos^(3) theta)/(sin theta - cos theta) - (cos theta)...

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  10. The total number of solutions of cos x=sqrt(1-sin2x) in [0,2pi] is equ...

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  11. The number of values of theta satisfying 4 cos theta + 3 sin theta = 5...

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  12. The number of integral values of 'n' so that sin x (sin x + cos x ) =n...

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  13. The number of pairs of integer (x,y) that satisfy the follownig two eq...

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  14. If tan^(2)(pi(x+y))+cot^(2)(pi)x+y=1+sqrt((2x)/(1+x^(2))) where x,y ar...

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  15. If 2tan^(2)x-5secx=1 for exactly 7 distinct values of x in [0,(npi)/2]...

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  16. For x in (0,pi) the equation sinx+2sin2x-sin3x=3 has

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  17. If 0lexlt2pi then the number of real values of x, which satisy the equ...

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  18. The number of solutions of sec^(2) theta + cosec^(2) theta + 2 cosec^(...

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  19. The number of solution is of the equations 2(sin^(4)2x+cos^(4)2x)+3sin...

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  20. The number of solutions of the equation 1+cosx+cos2x=sinx+sin2x+sin3x=...

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