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If A ,B, C are the angles of a triangle ...

If A ,B, C are the angles of a triangle , then :
`tan""(A)/(2) * tan""(B+C)/(2) +cos""(A+B)/(2) *csc""(C)/(2)=`

A

1

B

2

C

0

D

3

Text Solution

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The correct Answer is:
B
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If A,B,C are the angles of a Delta ABC , prove that tan ((C+A)/(2))=cot (B)/(2) .

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Knowledge Check

  • Let A, B, and C are the angles of a plain triangle and tan ""(A)/(2)=(1)/(3), tan ""(B)/(2)=(2)/(3)." Then "tan ""(C )/(2) is equal to

    A
    `7//9`
    B
    `2//9`
    C
    `1//3`
    D
    `2//3`

  • If A, B, C are angles of a triangle ABC, then |(sin.(A)/(2),sin.(B)/(2),sin.(C)/(2)),(sin(A+B+C),sin.(B)/(2),sin.(A)/(2)),(cos.((A+B+C))/(2),tan(A+B+C),sin.(C)/(2))| is less than or equal to

    A
    `(3sqrt(3))/(8)`
    B
    `(1)/(8)`
    C
    `2sqrt(2)`
    D
    2

  • If A,B,C are the angles of a triangle such that tan A=1 and tan B=2 , then : tan C=……….

    A
    `sqrt3`
    B
    `1//sqrt3`
    C
    3
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    If A,B,C are the interior angles of a triangle ABC, prove that tan((C+A)/(2))=(cot B)/(2)( ii) sin((B+C)/(2))=(cos A)/(2)

    If A,B and C are angles of a triangle, then prove that E=(cos ((B-C)/(2)))/(cos ((B+C)/(2)))+ (cos ((C-A)/(2)))/(cos ((C+A)/(2)))+(cos ((A-B)/(2)))/(cos ((A+B)/(2)))ge6

    If A,B and C are the interior angles of a triangle ABC, then show that cot((A+B-C)/(2))=tan C

    If A,B and C are the interior angles of a triangle ABC, then show that cot((A+B-C)/(2))=tan C

    Let A,B and C are the angles of a plain triangle and tan((A)/(2))=(1)/(3),tan((B)/(2))=(2)/(3) then tan((C)/(2)) is equal to

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