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If log(2)sinx-log(2)cosx-log(2)(1-tan^(2...

If `log_(2)sinx-log_(2)cosx-log_(2)(1-tan^(2)x)=-1` then x =

A

`pi//4`

B

`pi//8`

C

`3pi//4`

D

`-pi//4`

Text Solution

Verified by Experts

The correct Answer is:
B
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise-II
  1. If (1+tantheta)(1+tanphi)=2 then theta+phi =

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  2. If tan theta + tan(60^(@)+theta)+tan (120^(@)+theta)=3, then theta =

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  3. If log(2)sinx-log(2)cosx-log(2)(1-tan^(2)x)=-1 then x =

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  4. 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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  5. Find all values of x in (-pi,pi) satisfying the equation 8^(1+cosx+cos...

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  6. If alpha, beta are different values of x satisfying a cos x + b sin x ...

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  7. If alpha and beta are two different solutions lying between -(pi)/(2)...

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  8. The equation asinx+cos2x=2a-7 possesses a solution if

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

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

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  11. No. of solutions of 16^(sin^(2)x)+16^(cos^(2)x)=10,0lexle2pi is

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  12. No. of solutions of |cosx|=sinx,0lexle4pi, is

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  13. If sinalpha+sinbeta=1//2 and cosalpha+cosbeta=sqrt(3)//2 then 3beta+al...

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  14. If sintheta+sqrt(3)costhetage1 then

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  15. Find the number of solution of the equation 1+sinxsin^(2)""(x)/(2)=0 i...

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  16. The set of values of 'x' for which (tan3x-tan2x)/(1+tan3xtan2x)=1 is

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  17. Match the trigonometric equations from List I to solutions in List II ...

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  18. For 0lexle2pi, Match the equations in List I to no. of solutions in Li...

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  19. Observe the following statements Assertion (A) : The general solutio...

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

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