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

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Question

Mathematics

Mejia

29 July, 13:32

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

verify

+5

Answers (1)

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Ronnie Day · Answer 1

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

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

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

verify