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Let 2 sin^(2)x + 3 sin x -2 gt 0 and x^...

Let ` 2 sin^(2)x + 3 sin x -2 gt 0 and x^(2)-x -2 lt 0` ( x is measured in radian ) . Then 'x' lies in the internal .

A

`(pi//6, 5pi//6)`

B

`(-1, 5pi//6)`

C

`(-1, 2)`

D

`(pi//6, 2)`

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-TRIGONOMETRIC EQUATIONS AND INEQUATIONS-Chapter Test
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  2. The number of points of intersection of the two curves y=2 sin x and...

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

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  7. If rsintheta=3, r=4(1+sintheta) where 0&lt;=theta&lt;=2pi then theta e...

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

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

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

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

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

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

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

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

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

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

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  18. The values of alpha for which the equation "sin"^(4) x+ "cos"^(4)x + "...

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  19. "tan"|x| = |"tan" x|, if

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  20. The number of solutions of the equation 2^("cos"x) = |"sin" x|"in" [-2...

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