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"If" tanA =(1-cosB)/(sinB), "then "tan2A...

`"If" tanA =(1-cosB)/(sinB), "then "tan2A =tanB`

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To prove that if \( \tan A = \frac{1 - \cos B}{\sin B} \), then \( \tan 2A = \tan B \), we will follow these steps: ### Step 1: Start with the given equation We are given: \[ \tan A = \frac{1 - \cos B}{\sin B} \] ...
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Knowledge Check

  • If tan A=(1-cosB)/(sinB) , then tan 2A is equal to

    A
    cot B
    B
    tan B
    C
    cos B
    D
    cosec B

  • If tanA=(1-cosB)/(sinB) , express tan 2A in terms of tan B

    A
    tan 2A = tanB
    B
    tan 2A = `tan^(2)` B
    C
    tan 2A = `tan^(2)A+tan^(2)B`
    D
    tan 2A = `tan^(2)A-tan^(2)B`

  • If tanA=(1)/(2) and tanB=(1)/(3) , then tan(2A+B) is equal to

    A
    1
    B
    2
    C
    3
    D
    4

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