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In DeltaABC, if a,b,c are in A.P. prove ...

In `DeltaABC`, if a,b,c are in A.P. prove that:
`cot(A/2),cot(B/2), cot(C/2)` are also in A.P.

A

3

B

6

C

0

D

`-3`

Text Solution

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The correct Answer is:
A
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NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3P
  1. If 4sin^(2)theta=3, then general value of theta is:

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  2. If sin7theta=cos5 theta, then general value of theta is:

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  3. If tan3theta=cottheta, then general value of theta is :

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  4. Find the general value of theta from the equation tantheta+tan2theta+t...

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  5. Solve the following equation : cottheta+t a ntheta=2

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  6. The solution of cos2theta=cos^(2)theta is:

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  7. cottheta=-sqrt(3) and cosec theta=2

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  8. Solve: 2sin^(2)theta+sin^(2)2theta=2

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  9. If sqrt(3)sintheta-costheta=0, then one general value of theta is:

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  10. In DeltaABC, a=12 m, angleB=30^(@) and angleC=90^(@), then area of Del...

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  11. In DeltaABC, a=12 cm, angleB=30^(@) and angleC=90^(@), then area of De...

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  12. In DeltaABC, cotA/2, cotB/2, cotC/2 are in A.P., then the true stateme...

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  13. In DeltaABC, if a,b,c are in A.P. prove that: cot(A/2),cot(B/2), cot...

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  14. In DeltaABC, a=9, b=8 and c=4, then 3cosB-6cosC=?

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  15. In DeltaABC, If 1/(a+b)+1/(b+c)=3/(a+b+c), then angleB=?

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  16. In any DeltaABC, prove that a^(3)cos(B-C)+b^(3)cos(C-A)+c^(3)cos(A-B)...

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  17. With usual notations, if in a triangle ABC, (b+c)/11 = (c+a)/12 = (a...

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  18. In DeltaABC, (b-c)cotA/2+(c-a)cotB/2+(a-b)cotC/2=?

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  19. In a DeltaABC, if (2cosA)/a+(cosB)/b+(2cosC)/c=a/(bc)+b/(ca), prove th...

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  20. In DeltaABC, a=3,b=4,c=2, then cosA/2=?

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