Jika a cotan a + b cosec a = x2 dan
b cotan a + a cosec a = y2. maka nilai
dari
x²+y²=a cotan a + b cosec a +
b cotan a + a cosec a
=(a+b)cota+coseca(a+b)
=(a+b)(cota +coseca)
x²-y²=a cotan a + b cosec a +
- b cotan a -a cosec a
=(a-b)cota-coseca(a-b)
=(a-b)(cota-coseca)
(x⁴ - y⁴)=(x²+y²)(x²-y²)
=(a+b)(cota +coseca)(a-b)(cota-coseca)
=(a²-b²)(cot²a-cosec²)
=(a²-b²)(-1)=b²-a²
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Jika a cotan a + b cosec a = x2 dan
b cotan a + a cosec a = y2. maka nilai
dari
x²+y²=a cotan a + b cosec a +
b cotan a + a cosec a
=(a+b)cota+coseca(a+b)
=(a+b)(cota +coseca)
x²-y²=a cotan a + b cosec a +
- b cotan a -a cosec a
=(a-b)cota-coseca(a-b)
=(a-b)(cota-coseca)
(x⁴ - y⁴)=(x²+y²)(x²-y²)
=(a+b)(cota +coseca)(a-b)(cota-coseca)
=(a²-b²)(cot²a-cosec²)
=(a²-b²)(-1)=b²-a²