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Prove that tan.(A)/(2)+tan.(B)/(2)+tan.(...

Prove that `tan.(A)/(2)+tan.(B)/(2)+tan.(C)/(2)=(bc+ca+ab-s^(2))/(Delta)`

Text Solution

Verified by Experts

The correct Answer is:
`(ab + bc + ca -s^2)/( Delta )`
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Knowledge Check

  • Assertion (A) : If alpha = 12^@, beta = 15^@ , gamma=18^@ then tan 2 alpha tan 2 beta + tan beta tan 2 gamma + tan 2 gamma tan 2 alpha =1 Reason (R ): in Delta ABC, tan. (A)/(2) tan.(B)/(2) tan .(C )/(2) + tan.(C )/(2) tan.(A)/(2)= Which of the following is true?

    A
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    B
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    C
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    D
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    A
    xyz
    B
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    C
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    D
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    B
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    C
    `(2c tan ""(C)/(2))/(s)`
    D
    `(c tan ""(C)/(2))/(a+b+c)`
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