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If cosalpha+cosbeta=1/3and sinalpha+sinb...

If `cosalpha+cosbeta=1/3`and `sinalpha+sinbeta=1/4`,show that `tan ((alpha+beta)/2)=3/4`

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UNITED BOOK HOUSE-MCQ-EXERCISE
  1. Prove that tan (pi/12)tan((5pi)/12)tan ((7pi)/12)tan((11pi)/12)=1

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  2. Prove that tan62^@=2tan34^@+tan28^@

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  3. If cosalpha+cosbeta=1/3and sinalpha+sinbeta=1/4,show that tan ((alpha+...

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  4. Show that 1/(sin10^@)-sqrt3/(cos10^@)=4

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  5. Show that secalpha-tanalpha=cot(pi/4+alpha/2)

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  6. Solve :3sin^2x+7cos^2x=6

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  7. In triangleABC angleB=60^(@), c=2sqrt(3), b =3sqrt(2) then find angle...

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  8. If (2^(2n)-1)is divisible by 3, then show that [2^(2(n+1))-1]is also d...

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  9. Simplify : (1+i)^(-2)-(1-i)^(-2)

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  10. Find a quadratic equation with rational co-efficient whose one root is...

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  11. State fundamental theorem of algebra

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  12. If ^9P5 + 5. ^9P4 = ^I0Pr, find r.

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  13. If ^nC4=21xx^(n//2)C3find n.

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  14. Find the middle term (or terms) in the following expansions: (iii) (...

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  15. The sum to n terms of an A.P. is n^(2). Find the common difference.

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  16. If the slope of the line joining the points (2k,-2) and (1,-k) be (-2)...

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  17. Find the equation to the circle whose parametric equations are, x = ...

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  18. Find the equation- of the porabola whose co-ordinates of the vertex an...

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  19. Find the the co-ordinates of the point on the ellipse x^2 + 2y^2 =4 wh...

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  20. Show that the eccentricities of the two hyperbolas x^2/16-y^2/9=1and x...

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