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= (tan²x-1)(tan²x+1)/ 1/cos²x
= cos²x(tan²x+1)(tan²x-1)
= cos²x (sin²x/cos²x +1)(tan²x-1)
= (sin²x+cos²x)(tan²x-1)
= 1 (tan²x-1)
= tan²x - 1 (terbukti)
Ket :
sin²x + cos²x = 1
a⁴-b⁴ = (a²-b²)(a²+b²)
kan tan⁴x - 1 = tan⁴x - 1⁴
= (tan²x-1²)(tan²x+1²)
= (tan²x-1)(tan²x+1)