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Prove that tan 70 - tan 20 ^(@)=2 tan 50...

Prove that `tan 70 - tan 20 ^(@)=2 tan 50^(@)`

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Prove that tan70^(@)-tan20^(@)=2tan50^(@) .

Prove that tan 50^(@) -tan40^(@)-2tan10^(@) .

Knowledge Check

  • The value of (tan 70^(@) - tan 20^(@))/tan 50^(@) =

    A
    1
    B
    `-1`
    C
    `-2`
    D
    2

  • Tan20^(@) + 2Tan50^(@) =

    A
    `Tan 30^(@)`
    B
    `Cot 20^(@)`
    C
    `Tan 20^(@)`
    D
    `Tan 40^(@)`

  • Assertion (A) : tan 70^(@) - tan 20^(@) = 2 cot 40^(@) Reason (R ) : If A + B = 90^(@) then tan A. tan B = 1

    A
    A is true R is ture and R is corect 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

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