In triangle ABC, a, B and C are the opposite sides of angles a, B and C respectively. If (a + B + C) (B + C minus a) is equal to 3bC, the value of angle a can be obtained

In triangle ABC, a, B and C are the opposite sides of angles a, B and C respectively. If (a + B + C) (B + C minus a) is equal to 3bC, the value of angle a can be obtained


(a + B + C) (B + C-A) = 3bC (B + C) - a = 3bC, a = B + C - BC, and a = B + C - 2BC * cosa, that is, cosa = 1 / 2, a = 60 degree



In △ ABC, a, B and C are the opposite sides of angles a, B and C respectively, if (a + B + C) (B + C-A) = 3bC. (1) find the value of angle a; (2) under the conclusion of (1), if 0 ≤ x ≤ π 2, find the maximum value of y = cos2x + Sina · sin2x


(1) (B + C) 2-A2 = B2 + 2BC + c2-a2 = 3bC, 2bccosa = BC, so cosa = 12, a = π 3 (7 points) (2) y = 1 + cos2x2 + sinasin2x = 12 + 12cos2x + 32sin2x = 12 + sin (2x + π 6) (10 points) because 0 ≤ x ≤ π 2, 0 ≤ 2x ≤ π, π 6 ≤ 2x + π 6 ≤ 76 π, − 12 ≤ sin (2



ABC * 4 = CBA, A.B.C are numbers between 0 and 9. What are ABC
really


Let ABC = X
Then x ^ 4 = x
x(x-1)(x^2+x+1)=0
X = 0 or 1
According to a = b = C = 1
Or a = b = C = 0



In triangle ABC, ab = 30, angle a = 30 ° and angle CBA = 60 °, the area of triangle ABC is calculated


30 degrees is half of the hypotenuse



One person came up with ABC (all decimal system) ACB + BAC + BCA + CBA + cab = 2013 to find a, B, C


The original formula is changed to 2013 = 222 * (a + B + C) - ABC
222 * (a + B + C) ≥ 2013 when a + B + C ≥ 10
When a + B + C = 10, 222 * (a + B + C) = 2220, ABC = 107, a + B + C ≠ 10 (rounding)
When a + B + C = 11, 222 * (a + B + C) = 2442, ABC = 429, a + B + C ≠ 11 (rounding)
When a + B + C = 12, 222 * (a + B + C) = 2664, ABC = 651, a + B + C = 12 √
∴a=6,b=5,c=1.
Of course, there is a better way than me, because I don't know much about it



In the following formula, different letters represent different numbers. Find the formula. ABC × d = 1995


Because 1995 = 3 × 5 × 7 × 19, 1995 = 133 × 15 = 399 × 5 = 285 × 7; because different letters represent different numbers, the formula is 285 × 7 = 1995



Each letter in the following formula represents a number, and different letters represent different numbers. Please make sure ABC * 6 = CCC


148×6=888



In the following formula, the same letters represent the same number, and different letters represent different numbers. What numbers do a.b.c.d represent
In the following formula, the same letter means the same number, and different letter means different number. What number does a.b.c.d represent? The following formula is ABCD * 9 = DCBA
Please do me a favor


1089×9=9801



In the following multiplication formula, a, B, C, D and e represent different numbers.. ABC is a three digit number,. De is a two digit number,. ABC is a three digit number______ . De is______ .


Because 4063 = 239 × 17. So. ABC is 239 and. De is 17. So the answer is 239, 17



ABC * D is equal to 1365, and each number represents a different number. Write this formula


273 * 5 (decompose 1365 by short division to get 273 * 5)