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17 May, 21:48

Verify that - tan2x = (2tanx) / (sec^2x - 2)

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  1. 17 May, 22:14
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    Below.

    Step-by-step explanation:

    - tan 2x = - 2tanx / (1 - tan^2x)

    Using the identity tan^2x = sec^2x - 1 and substituting for tan^2x:

    - tan 2x = - 2 tanx / (1 - (sec^2x - 1))

    = 2 tanx / ( - 1 (sec^2x + 2))

    = 2 tan x / (sec^2 x - 2)
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