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If A+B+C=180^(@), then Sigmatan.(A)/(2)t...

If `A+B+C=180^(@)`, then `Sigmatan.(A)/(2)tan.(B)/(2)` is

A

0

B

1

C

2

D

3

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • If A+B+C=180^(@) , then tan^(2)""(A)/(2)+tan^(2)""(B)/(2)+tan^(2)""(C)/(2)=?

    A
    1
    B
    0
    C
    2
    D
    0

  • If A+B+C=180^(@) , then the value of cot.(A)/(2)+cot.(B)/(2)+cot.(C)/(2) will be

    A
    `2cot.(A)/(2)cot.(B)/(2)cot.(C)/(2)`
    B
    `4cot.(A)/(2)cot.(B)/(2)cot.(C)/(2)`
    C
    `cot.(A)/(2)cot.(B)/(2)cot.(C)/(2)`
    D
    `8cot.(A)/(2)cot.(B)/(2)cot.(C)/(2)`

  • If A+B+C=180^(@) then the value of tan ((A+B)/2)=

    A
    `"sin"C/2`
    B
    `"cos"C/2`
    C
    `"cot"C/2`
    D
    None of these

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    If A+B+C=pi and sin(A+(C)/(2))=k sin((C)/(2)), then tan((A)/(2))*tan((B)/(2)) is equal to

    If A + B + C = 180^(@) , then prove that tan A + tan B + tan C = tan A tan B tan C.

    If A+B+C=pi, show that : tan.(A)/(2)tan.(B)/(2)+tan.(B)/(2)tan.(C)/(2)+tan.(C)/(2)tan.(A)/(2)=1 Hence deduce that : cot.(A)/(2)+cot.(B)/(2)+.cot.(C)/(2)=cot.(A)/(2).cot.(B)/(2)tan.(C)/(2) .

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