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verifying identities

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how do you veriy

tan x + Cot y
-------------- = tan y + cot x
1-tan x cot y




sin^4x + cos^4x = 1- 2cos^2x + 2cos^4

  • verifying identities -

    I get on the right:
    sin y / cos y + cos x / sin x

    (sin x sin y + cos x cos y) / sin x cos y

    sin x sin y/cos x + 1 cos y
    ----------------------------
    sin x cos y/cos x

    tan x sin y + cos y
    ---------------------
    tan x cos y

    tan x sin y/sin y + cos y/sin y
    --------------------------------
    tan x cos y/sin y

    tan x + cot y
    ---------------
    tan x cot y

  • verifying identities -

    sin^4x + cos^4x = 1- 2cos^2x + 2cos^4 this is not complete, assume you mean
    2 cos^4 x at the end
    sin^4 x = sin^2 x * sin^2 x
    =(1 - cos^2 x)(1 - cos^2 x)
    = well I guess that gives it away

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