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If tan20^(@) = lambda then show that (ta...

If `tan20^(@) = lambda` then show that `(tan 160^(@) -tan 110^(@))/(1+tan160^(@).tan110^(@)) = (1-lambda^2)/(2lambda)`.

A

`(1 + lamda ^2)/(2 lamda)`

B

`(1+ lamda ^2)/(lamda)`

C

`(1-lamda^2)/(lamda)`

D

`(1-lamda^2)/(2 lamda)`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • tan 70^(@) - tan 20^(@)=

    A
    `tan 50^@`
    B
    `2tan 50^(@)`
    C
    `tan 60^@`
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    B
    `(1+lambda^(2))/(lambda)`
    C
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    D
    `(1-lambda^(2))/(2lambda)`

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    A
    `(1+lambda^2)/(2lambda)`
    B
    `(1+lambda^2)/lambda`
    C
    `(1-lambda^2)/lambda`
    D
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