Sec4x-tan4x=2sec2x=1
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Answer:
Sec⁴x-tan⁴x=2sec²x-1
Step-by-step explanation:
LHS = sec⁴x-tan⁴x
= (sec²x)² - (tan²x)²
= (sec²x+tan²x)(sec²x-tan²x)
= (sec²x+tan²x)×1
/* By Trigonometric identity:
sec²x-tan²x = 1 */
= sec²x+tan²x
= sec²x+(sec²x-1)
= 2sec²x-1
= RHS
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