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If in DeltaABC,2b^(2)=a^(2)+c^(2),"then ...

If in `DeltaABC,2b^(2)=a^(2)+c^(2),"then "(sin3B)/(sinB)`=

A

`(c^(2)-a^(2))/(2ca)`

B

`(c^(2)-a^(2))/(ca)`

C

`((c^(2)-a^(2))/(ca))^(2)`

D

`((c^(2)-a^(2))/(2ca))^(2)`

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-TRIGONOMETRIC FUNCTIONS -Competitive Thinking
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  3. If in DeltaABC,2b^(2)=a^(2)+c^(2),"then "(sin3B)/(sinB)=

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  7. Let ABC be a triangle such that angleACB=pi/6 and let a , b and c deno...

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  8. If two adjacent sides of a cyclic quadrilateral aré 2 and 5 and the an...

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  9. In triangle ABC, if A = 2B, and the sides opposite to the angles A, B,...

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  10. In triangleABC, (b+c)cosA+(c+a)cosB+(a+b)cosC=

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  11. In DeltaABC,cosecA(sinBcosC+cosBsinC)=

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  12. IN triangleABC, (cosC+cosA)/(c+a)+(cosB)/(b)=

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  13. In DeltaABC, with usual notations, if a,b,c are in AP then acos^(2)((C...

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  14. In a DeltaABC, if 2s=a+b+cand(s-b)(s-c)=xsin^(2).(A)/(2), then x =

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  15. In triangle ABC, sin((A)/(2))sin((C)/(2))=sin((B)/(2)) and '2s' is the...

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  16. In triangleABC, if a=18, b=24, c=30, then cos((A)/(2))=

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  17. In DeltaABC,(a-b)^(2)cos^(2).(C)/(2)+(a+b)^(2)sin^(2).(C)/(2)=

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  18. If a, b, c are in A.P then cot(A/2),cot(B/2),cot(C/2) are in

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  19. In DeltaABC,tan.(A)/(2)+tan.(B)/(2)=

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  20. In DeltaABC,(cot.(A)/(2)+cot.(B)/(2))(asin^(2).(B)/(2)+bsin^(2).(A)/(2...

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