IF SINA/SINB=SIN(A+B)/SIN(B-C) SO PROVE a^2 , b^2, c^2 are in a.p?

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IF SINA/SINB=SIN(A+B)/SIN(B-C) SO PROVE a^2 , b^2, c^2 are in a.p?

2007-02-10 01:54:29 · 1 answers · asked by raghav m 1 in Science & Mathematics ➔ Mathematics

1 answers

Sin (a) / Sin (b) = Sin (a + b) / Sin (b - c)

Sin (a^2) / Sin (b^2) = Sin (a^2 + b^2) / Sin (b^2 - c^2)

Sin (a^2) Sin ( b^2 - c^2) = Sin (a^2 +b^2) Sin (b^2)
Sin (a^2) Sin (b^2) - Sin (a^2) Sin (c^2) = Sin (a^2) Sin (b^2) + Sin (b^2) Sin (b^2)
Sin (a^2) Sin (b^2) - Sin (a^2) Sin (c^2) = Sin (a^2) Sin (b^2) + Sin (b^2)^2
Sin (a^2) Sin (b^2) - Sin (a^2) Sin (b^2) = Sine (a^2) Sine (c^2) + Sin (b^2)^2
0 = Sine (a^2) Sine (c^2) + Sin (b^2)^2
- Sin (b^2)^2 = Sine (a^2) Sine (c^2)

2007-02-10 10:08:27 · answer #1 · answered by -=*QA*=- 2 · 0⤊ 2⤋