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If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(...

If `1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2` then x =

A

`pi//6, pi//3`

B

`pi//3, 5pi//6`

C

`2pi//3, pi//6`

D

`pi//3, 2pi//3`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC EQUATIONS -EXERCISE 1
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  2. If tan(cot x) = cot (tan x), then sin 2x =

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  3. If 1+sin x + sin^(2)x +….oo = 4 + 2sqrt(3), 0 lt x lt pi, x ne pi//2 t...

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  4. The expression (1+tan x +tan^(2)x)(1- cot x + cot^(2)x) has the positi...

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  5. The solutions of the system of equations x+y=2pi//3 and cos x + cos y ...

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  6. If x + y = 2pi//3 and cos x + cos y = sqrt(3)//2, then x, y =

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  7. The smallest positive real value of p for which the equation cos (p si...

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

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  9. The solution of (81)^(sin^(2)x) +(81)^(cos^(2)x)=30 in [0, pi//2] is

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  10. The general solution x for the equation 9^(cos x)-2.3^(cos x)+1=0 is

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  11. The equation e^(sin x)-e^(-sin x)-4=0 has

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

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  13. The equation cos^(4)x-(a+2)cos^(2)x-(a+3)=0 possesses a solution if

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  14. If (1)/(6) sin x, cos x, tan x are in G.P. then x is equal to

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  15. The minimum value of 2^(sin x)+2^(cos x) is

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  16. If tan px = cot qx then the solutions are in

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  17. If x in (-pi, pi) such that y=1 +|cos x|+|cos^(2)x|+|cos^(3)|+ …. And ...

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  18. The value of x which satisfies 8^(1+|cos x|+|cos x|^(2))+.... =64 in [...

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  19. If the equation (cos p - 1)x^(2) + cos p x + sin p =0 in the varable x...

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  20. In a triangle ABC, angle A gt angle B. If the measures of angle A, ang...

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