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If A+B+C = pi //2 , then tanA tanB + ta...

If `A+B+C = pi //2 ` , then tanA tanB + tanB tanC+ tan A tan C=

A

1

B

`-1`

C

`0`

D

`2 `

Text Solution

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

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  3. If A+B+C = pi //2 , then tanA tanB + tanB tanC+ tan A tan C=

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  4. If A=35^(@) , B= 15^(@) and C=40^(@) , then tan A* tan B+ tan B* tan...

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

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  6. If A+ B+C= pi//2 , " then " tan 2A + tan 2B+ tan 2C=

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  7. 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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  8. 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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  9. If A+B+C=(pi)/2, " then " sum (cos (B+C))/(cos B cos C)=

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

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

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

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

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

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

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

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

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

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

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

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