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29 July, 13:32

Tan^4x-sec^4x=1-2 sec^2 (x)

verify

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  1. 29 July, 17:17
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    Tan⁴x - sec⁴x = 1 - 2sec²x

    tan²x = sec²x - 1

    tan⁴x - sec⁴x = 1 - 2sec²x

    (tan²x) ² - sec⁴x = 1 - 2sec²x

    (sec²x - 1) ² - sec⁴x = 1 - 2sec²x

    (sec²x) ² - 2 * sec²x + 1 - sec⁴x = 1 - 2sec²x

    sec⁴x - 2 sec²x + 1 - sec⁴x = 1 - 2sec²x

    sec⁴x can be cancelled:

    - 2 sec²x + 1 = 1 - 2sec²x

    1 - 2sec²x = 1 - 2sec²x
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