θ i ) AB θ ) A = B = sin θ = sin θ A B sin θ) ) < = θ < = Ax Bx = θ = sin θ ) abc θ sin 5θ = sin θ fsin θ) fx) = ax bx c ) cos 5 i sin 5 ) 5 ) αβ α iβ) 5 α 4 β α β β 5 ) a = b = c = ) fx) = 0 x x = x = ) cos = 5 ) pqrs θ sin 7θ = sin θ gsin θ) gx) = px qx rx s ) p = q = r = s =
) sin 7 sin 4 7 sin 6 7 = 4 0 α 4 β α β β 5 5 α 4 β 0 α β β 5 a = b = c = a = 6 b = 0 c = 5 5 5 5 4 p = q = r = s = p = 64 q = r = 56 s = 7 7 ) ) sin θ = sin θ4 sin θ = sin θ 4 sin θ) A =, B = 4 ) x 4x = x = sin θ sin θ 4 sin θ = sin θ = θ = 6, 7 6, 6 θ =, 7, )... 9 < = θ < = θ sin θ sin θ < = θ < = sin θ θ = ) sin 5θ = sin θ fsin θ) ) cos 5 i sin 5 ) 5 = cos i sin = 0 )
α iβ) 5 = 5 C 0 α 5 5 C α 4 iβ) 5 C α iβ) 5 C α iβ) 5 C 4 αiβ) 4 5 C 5 iβ) 5 = α 5 5α 4 iβ) 0α β 0α β i 5αβ 4 β 5 i 5α 4 β 0α β β 5 ) cos θ i sin θ) 5 = cos 5θ i sin 5θ ) α = cos θ, β = sin θ sin 5θ = 5 cos 4 θ sin θ 0 cos θ sin θ sin 5 θ = sin θ 6 sin 4 θ 0 sin θ 5) sin 5θ = sin θ a sin 4 θ b sin θ c) a = 6, b = 0, c = 5 ) fx) = 6x 0x 5 = 0 x = 5 ± 5 ) θ = 5 sin 5θ = sin = 0 sin θ =\ 0 fsin θ) = 0 sin θ ) x 4 < 5 < sin θ > sin θ = 5 5 cos θ = sin θ = 5 5 cos θ > 0 cos θ = = 5 4 ) ) cos θ i sin θ) 7 = cos 7θ i sin 7θ cos θ i sin θ) 7 sin 7θ = 7 C cos 6 θ sin θ 7 C cos 4 θ sin θ 7 C 5 cos θ sin 5 θ 7 C 7 sin 7 θ = sin θ 64 sin 6 θ sin 4 θ 56 sin θ 7) sin 7θ = sin θ gsin θ) = sin θ p sin 6 θ q sin 4 θ r sin θ s) p = 64, q =, r = 56, s = 7 ) θ = 7, 4 7, 6 sin 7θ = 0 sin θ =\ 0 7 sin 7θ = sin θ gsin θ) gsin θ) = 0 θ sin θ sin θ gx) = 0 sin 7 sin 4 7 sin 6 7 = 7 64 sin 7, sin 4 7, sin 6 7 sin 7 sin 4 7 sin 6 7 = 7
θ i ) z i 5 w = z ) ) i = w i = w ) w i ) z A = cos θ i sin θ, z B = cos θ i sin θ, z C = cos θ i sin θ z A z B z C ABC ) < θ < ABC θ = θ = ) 0 < θ < ABC S S = sin θ sin θ S θ = ) θ = mn mn argz A ) = arg k S zb m z C n m = k, n = k ) mn mn 50 50 mn
i 5 6 i i 6 i 5 4 sin θ sin θ sin θ sin θ 4 k k k k ) ) i = ) z z ) i = 5 ) = 5 w = z w ) i = 5 ) i w = 5 w i w = 5 w i 5 w 6i = 5 w z = w
w 6i = w ) w 6i ) w 6i ) = ww ww 6i w 6i w 4 = 0 w 6i ) w 6i ) = w 6i = 5 w 6i = w 6 i 5 ) ) ABC AOB = zb arg z A ) = ± k θ = ± k k < θ < θ k = θ = 4 ABC AB = BC ABC AC ABC ) zc arg = ± k θ = ± l θ = ± l l z A < θ < θ l = θ = ) 0 < θ < S = OAB OBC OCA = sin θ sin θ sin θ = sin θ sin θ < θ < S = OAB OBC OCA = sin θ sin θ sin θ) = sin θ sin θ θ = S = sin θ sin θ
0 < θ < S y C B y C y A θ O θ θ A x A θ θ O θ x B O x B C 0 < θ < < θ < θ = ds dθ = cos θ cos θ = cos θ cos θ = cos θ ) cos θ ) ds dθ = 0 θ 0 ds dθ 0 S 4 S θ = 4 ) θ = m zb argz A ) = arg z n C ) = m n l l l = 0 m n = m, n) =, ) = m)n) = 0 m) = n) m ) = n ) = 6kk m = k, n = k 50 50 4 50 < = m < = 50 50 < = k < = 50 6 < = k < = 6 < = k < = 49 50 < = n < = 50 50 < = k < = 50 49 < = k 49 = < < = k = < 74 < = k < = 49 m, n
fx) = x sinx) ) 0 < = x < = fx) x = ) C : y = fx) t, ft)) C l t ) t = 0 l t y = x t = l t y = x ) 0 < = t < = l t y t = t = ) 0 < t < C 0 < = x < = l t x = 0 x = S t S t t = x = x = y = x y = x y = x y = x t = t = 0 0 t = t = t = t = 4 ) f x) = cosx) = 0 x = fx) x 0 f x) 0 fx) 0
fx) x = ) ) l t y = cos t)x t) t sin t = cos t)x t cos t sin t t = 0 y = x t = y = x ) l t y gt) = t cos t sin t g t) = t sin t gt) t 0 g t) 0 0 gt) 0 t = 0 0 t = ) f x) = sin x 0 < x < f x) < 0 fx) fx) y = x y = sin x ) y gt) ) A, B, C S t y C l t B y = fx) O A x OABC U S t = U 0 fx)dx = 0 fx)dx [ x ] cos x = 0 4 U x = l t y t) cos t sin t U = { t cos t ) sin t t) cos t )} sin t = t) cos t sin t du dt = t ) sin t U
t 0 du dt 0 fx) S t t = ) 4 ) = 4
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