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If A+B+C=360^(@) " then " tan""(A)/(2) +...

If `A+B+C=360^(@) " then " tan""(A)/(2) + tan""B/2 + tan ""(C)/(2) = `

A

`sin""(A)/(2)*sin""(B)/(2)""sin""(C)/(2)`

B

`cos""(A)/(2)*cos""(B)/(2)""cos""(C)/(2)`

C

`tan""(A)/(2)*tan""(B)/(2)""tan""(C)/(2)`

D

`cot""(A)/(2)*cot""(B)/(2)""cot""(C)/(2)`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 B ( COMPOUNDS ANGLES )
  1. If A+B+C= pi//2 then show that cot A + cot B+ cot C=cot A cot B cot C

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  2. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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  3. In Delta ABC, cos A + cos (B-C)=

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  4. In Delta ABC, sin A + sin (B-C)=

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  5. In Delta ABC,if tan A+ tan B + tan C= 3sqrt3, then the triangle is

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  6. In Delta ABC, tan 2A+ tan 2B+ tan 2C=

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  7. If ABC are angle of a triangle then prove that cot Acot B+ cot Bcot C+...

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  8. In Delta ABC, tan ""A/2 * tan ""(B)/(2) + tan""(B)/(2) * tan""(C)/(2) ...

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  9. In Delta ABC, cot ""(A)/(2) +cot""(B)/(2) + cot""(C)/(2)=

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  10. In Delta ABC, cos""(A)/(2) + sin""((B-C)/(2))=

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  11. In Delta ABC , sin"(A)/(2) + cos""((B-C)/(2))=

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  12. In a triangle ABC, If cot A+ cotB +cot C=sqrt3, then show that the tri...

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  13. If A+B+C=180^(@) " then " sum(cot A + cot B)/(tan A + tan B)=

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  14. In Delta ABC, sum""(cos (B-C))/(sinB sin C )=

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  15. sum(sin (A-B))/(cos A cos B)=

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  16. In Delta ABC, " if " tan""(A)/(2)=(5)/6 , tan""(B)/(2)=(20)/(37) " the...

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  17. In Delta ABC, A is an obtuse angle , sin A =3//5 , sin B= 5//13 " the...

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  18. If A+B+C=360^(@) " then " tan""(A)/(2) + tan""B/2 + tan ""(C)/(2) =

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  19. If A+B+C= 360^(@) " then " cot""(A)/(4)+ cot ""(B)/(4) + cot ""(C)/(4)...

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  20. If A+B+C=720^(@) " then " tan A + tan B + tan C=

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