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If underset(x in R)("Max") {5 "sin"x + 3...

If `underset(x in R)("Max") {5 "sin"x + 3 "sin" (x-theta)} =7, "then "theta =`

A

`2n pi +- (pi)/(3), n in Z`

B

`2n pi +- (2pi)/(3), n in Z`

C

`(pi)/(3), (2pi)/(3)`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
  1. Find the most general solution of 2^1|cosx|+cos^2x+|cosx|^(3+oo)=4

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

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  3. If underset(x in R)("Max") {5 "sin"x + 3 "sin" (x-theta)} =7, "then "t...

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

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  5. The number of points of intersection of the two curves y=2 sin x and...

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

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

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  9. If theta in [0,5pi]a n dr in R such that 2sintheta=r^4-2r^2+3 then th...

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

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

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

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

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

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  15. The general value of theta satisfying tantheta tan(120^@-theta) tan(12...

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  16. The solution of the equation "log"("cos"x) "sin" x + "log"("sin"x) "...

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  17. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

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  18. One root of the equation "cos" theta-theta + (1)/(2) = 0 lies in the i...

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  19. If "sin" (pi "cos" theta) = "cos" (pi "sin" theta), then which one fo ...

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  20. If "2sec" (2alpha) = "tan" beta + "cot"beta, then one of the value of ...

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