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If A, B, C are three angles of /\ABC, t...

If `A, B, C` are three angles of `/_\ABC`, then
(i) `tan ((A - B)/2)` =

A

`cot (B + C/2)`

B

`cot (C + B/2)`

C

`tan (B + C/2)`

D

none of these

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If A, B, C are three angles of /_\ABC , then (ii) cos (A + B) + sin C =

    A
    `sin (B + C) - cos A`
    B
    `sin (A + B) - cos C`
    C
    `sin (A + C) - cos B`
    D
    none of these

  • If A, B, C are three angles of /_\ABC , then (iii) sin (B+C) + sin(C +A) + sin (A + B) =

    A
    `cos A + cos B + cos C`
    B
    `sin A + sin B - sin C`
    C
    `sin A + sin B + sin C`
    D
    `-(sin A + sin B + sin C)`

  • If A, B, C are the angles of a triangle then tan ((B+C)/2)=

    A
    `sin""(A)/(2)`
    B
    `cot""(A)/(2)`
    C
    `cos""(A)/(2)`
    D
    `sec""(A)/(2)`

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