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1+tg^2x = sec^2 x = 1/cos^2 x [ sec = 1/ cos, kalo cosec = 1/ sin ]
1 +cotg^2x = cosec^2 x = 1/ sin^2 x
s = sin
c = cos
lanjut lagi
s . c^3 + c s^3 = s. c ( c^2 x + s ^ 2 x ) = sin x. cos x ( 1 ) terbukti ruas kanan = kiri
tan θ/ (sec²θ)² + cot θ / (cosec²θ)² =sin θcosθ
sin θ/ cos θ x cos^4 θ + cosθ/sin θ x sin^4 θ =sin θcosθ
sinθcos^3 θ + cosθsin^3 θ =sin θcosθ
sinθcosθ (sin^2 θ + cos ^2 θ) =sin θcosθ
sin θ cos θ (1) =sin θcosθ
terbukti