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The number of distinct roots of the equ...

The number of distinct roots of the equation `A"sin"^(3) x + B"cos"^(3)x +C = 0` no two of which differ by `2pi`, is

A

3

B

4

C

infinite

D

6

Text Solution

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. The number of roots of the equation x +2"tan"x = (pi)/(2) in the inter...

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  2. If "sin" (pi "cot" theta) = "cos" (pi "tan" theta), "then cosec" 2 the...

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  3. The number of distinct roots of the equation A"sin"^(3) x + B"cos"^(3...

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  4. The values of x between 0 and 2pi which satisfy the equation sinxsqrt(...

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  5. If Cos20^0=k and Cosx=2k^2-1, then the possible values of x between 0^...

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  6. The general solution of the trigonometic equation "sin"x + "cos"x = 1...

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  7. The general solution of the equation sin^2thetasectheta+sqrt3 tantheta...

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  8. If x = X "cos" theta-Y "sin" theta, y = X "sin" theta + Y "cos" theta ...

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  9. The equation 3^("sin"2x + 2"cos"^(2)x) + 3^(1-"sin"2x +2"sin"^(2)x) = ...

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  10. The value of x , 0 le x le (pi)/2 which satisfy the equation 81^( si...

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  11. The smallest positive values of x and y which satisfy "tan" (x-y) =1, ...

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  12. The solution set of the inequality "cos"^(2) theta lt (1)/(2), is

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  13. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...

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  14. The equation "sin"^(4) x -2 "cos"^(2) x + a^(2) =0 is solvable if

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  15. Find the coodinates of the point of intersection of the curves y= cos ...

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  16. If 1/6 sinx, cosx, tan x are in G.P. then x=,

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  17. Find the minimum value of 2^("sin" x) + 2^("cos" x)

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  18. From the identity "sin" 3x = 3 "sin"x - 4"sin"^(3)x it follows that if...

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  19. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

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  20. Let alpha, beta be any two positive values of x for which 2"cos"x, |"c...

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