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The number of points in interval [ - (pi...

The number of points in interval `[ - (pi)/(2) , (pi)/(2)], ` where the graphs of the curves ` y = cos x ` and ` y= sin 3x , -(pi)/(2) le x le (pi)/(2) ` intersects is

A

`((pi)/(4), (1)/(sqrt(2))) " and " ((pi)/(8), "cos" (pi)/(8))`

B

`((-pi)/(4), (1)/(sqrt(2))) " and " ((-pi)/(8), "cos" (pi)/(8))`

C

`((pi)/(4), (-1)/(sqrt(2))) " and " ((-pi)/(8), "-cos" (pi)/(8))`

D

`((-pi)/(4), (1)/(sqrt(2)))`

Text Solution

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. The equation sin^4x+cos^4x+sin2x+alpha=0 is solvable for -5/2lt=alphal...

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

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  3. The number of points in interval [ - (pi)/(2) , (pi)/(2)], where the ...

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

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

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

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

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

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  9. If max {5 sin theta + 3 sin ( theta - alpha )}=7 , then the set of pos...

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  10. The most general value of theta for which "sin" theta-"cos" theta = ...

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  11. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

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  12. Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0 ( x is measured ...

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  13. The largest positive solution of 1+"sin"^(4) x = "cos"^(2) 3x " in " [...

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  14. The set of values of x in (-pi, pi) satisfying the inequation |4"sin" ...

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  15. If theta in [0, 5pi] and r in R such that 2 sin theta = r^(4) -2r^(2) ...

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  16. If rsintheta=3, r=4(1+sintheta) where 0<=theta<=2pi then theta e...

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  17. The solution set of the inequation "log"(1//2) "sin" x gt "log"(1//...

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  18. If the equation "sin" theta ("sin" theta + 2 "cos" theta) = a has a re...

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  19. The equation "sin"^(4) theta + "cos"^(4) theta = a has a real solution...

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  20. If 32"tan"^(8)theta" = 2"cos"^(2) alpha- 3"cos" alpha " and "3"cos" 2 ...

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