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Find the common solutions of sin theta =...

Find the common solutions of `sin theta = -(1)/(2)` and `tan theta = (1)/(sqrt(3))`.

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The correct Answer is:
`2n pi + (7pi)/(6), n in Z`
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AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Practice Exercise
  1. Find the common solutions of sin theta = -(1)/(2) and tan theta = (1)/...

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  2. The principal solution of costheta=-(sqrt(3))/(2) is

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  3. The set of values of x for which (tan5x-tan4x)/(1+tan5xtan4x)=1 is

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  4. The principal solution of tantheta=sqrt(3)-2 is

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  5. If 3tantheta=cot theta then theta =

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  6. If sin theta.sin (60+theta)sin (60-theta)=1//4 then theta =

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  7. If 4 cos theta.cos(120^(@)+theta).cos(120^(@)-theta)=1//2 then theta =

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  8. The values of theta satisfying cosec theta + 2 = 0 in (0, 2pi) are

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  9. If x is acute and sin(x+10^(@))=cos(3x-68^(@)) then find x .

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  10. The general solution of tan(3theta)=1 is

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  11. The general solution of tan theta tan 2theta=1 is

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  12. If tan(2theta)=cottheta implies theta=(ninz)

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  13. The solution set of sin 3 theta = (sqrt(10 + 2sqrt(5)))/(4) is

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  14. If sin(theta-25^(@))=-(sqrt(3))/(2) then theta =

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  15. The general solution of 4costheta=sqrt(10-2sqrt(5)) is

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  16. The general solution of cot(2theta)=sqrt(2)+1 is

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  17. The most general value of theta satisfying the equations costheta=-(1)...

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  18. If sqrt(3) cos theta - sin theta = 1 then theta =

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  19. If 4cos^(2)x-2(1+sqrt(3))cosx+sqrt(3)=0 the solution set in [0,pi] is

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  20. The solution of the equation cos^(2)theta+sintheta+1=0 lies in the int...

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  21. If rsintheta=3andr=4(1+sintheta) where 0ltthetale2pi then theta =

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