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Find tan 20^(@) + tan40^(@) + sqrt(3)tan...

Find `tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@)tan40^(@)`.

Text Solution

Verified by Experts

The correct Answer is:
`sqrt(3)`
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Similar Questions

Explore conceptually related problems

A =(cos 9^(@) - sin 9^(@))/(cos 9^(@) + sin 9^(@)) , B = (cos 21^(@) + sin 21^(@))/(cos21^(@) -sin21^(@)) and C= tan 20^(@) + tan40^(@) + sqrt(3)tan20^(@) tan40^(@) then descending order is:

A=(cos9^(@)-sin9^(@))/(cos9^(@)+sin 9^(@)), B=(cos21^(@)+sin21^(@))/(cos21^(@)-sin21^(@)) and C=tan 20^(@)+tan 40^(@)+sqrt(3)tan20^(@)tan40^(@) then descending order is

Knowledge Check

  • I : tan 20^@ + tan 40^(@) + sqrt(3) tan 20^(@) tan 40^(@) =1 II : ((1+ tan 21^(@))(1+ tan 24^(@)))/((1+ tan 22^(@) )(1+ tan 23^(@)))=2

    A
    only I is true
    B
    only II is true
    C
    both I & II are true
    D
    neither I nor II are true

  • tan 70^(@) - tan 20^(@)=

    A
    `tan 50^@`
    B
    `2tan 50^(@)`
    C
    `tan 60^@`
    D
    `2 tan 60^(@)`

  • Assertion (A): tan40^(@) + tan 80^(@) - sqrt(3)tan 40^(@) tan80^(@)=-sqrt(3) Reason ( R): tan( A + B) =tan A + tan B + tan(A + B) tan A tan B

    A
    A is true, R is true and R is correct explanation of A
    B
    A is true, R is true and R is not correct explanation of A
    C
    A is true, R is false
    D
    A is false, R is true.

    • Similar Questions

    Explore conceptually related problems

    What is the value of tan20^(@)+tan40^(@)+sqrt(3)tan20^(@)+tan40^(@) ?

    Find the value of Tan20^(@) + Tan40^(@) + sqrt(3)Tan20^(@) Tan40^(@)

    A=(cos9^(@)-sin9^(@))/(cos9^(@)+sin9^(@)),B=(cos21^(@)+sin21^(@))/(cos21^(@)-sin21^(@))andC=tan9^(@)+tan40^(@)+sqrt(3)tan20^(@)tan40^(@) then descending order of A,B,C is

    Tan20^(@) + 2Tan50^(@) =

    tan 20^(@) tan 40^(@) tan 60^(@) tan 80^@=

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