Simplifying sin2x by cos2x Y = 2cos x divided by 2 + 1

Simplifying sin2x by cos2x Y = 2cos x divided by 2 + 1

sin2x*cos2x
=1/4*sin4x
Y = 2cos x divided by 2 + 1?

A simple function problem The images of y = - 3 / 2x + m and y = 1 / 2x + n pass through a (4,0), and intersect with y axis at B and C, respectively, to find s △ ABC S △ ABC = 16 But how did 16 come out? Please write down the process, PS:

Take (4,0) into the two formulas, calculate the value of M, n = 0 = - 3 / 2 * 4 + m, 0 = 1 / 2 * 4 + nm = 6, n = - 2, the two formulas are y = - 3 / 2x + 6, y = 1 / 2x-2, and then calculate the coordinates B (0, b) and C (0, c) into the two formulas, and get b = - 3 / 2 * 0 + 6, C = 1 / 2 * 0-2, B = 6, C = - 2BC is the bottom edge, the height is 0A, 0 is the origin, BC is equal to the

Cos2a + cos (4 π / 3-2a) simplification,

=Cos2a cos (π / 3-2a) = cos2a-1 / 2cos2a-2 fraction root sign 3sin2a = 1 / 2cos2a-2 fraction root sign 3sin2a = cos (2a + π / 3)

(x-y)/(x²-xy-2y²) - 2/(3x+3y)

(x-y)/(x^2-xy-2y^2) - 2/(3x+3y)
=(x-y)/[(x+y)(x-2y)]-2/[3(x+y)]
=(3x-3y)/[3(x+y)(x-2y)]-(2x-4y)/[3(x+y)(x-2y)]
=(3x-3y-2x+4y)/[3(x+y)(x-2y)]
=(x+y)/[3(x+y)(x-2y)]
=1/[3x-6y]

Simplification of logic function y = AB non + a non B + BC non + B non C

Y=AB'+A'B+BC'+B'C= AB'+A'B(c+c’)+BC'+(A+A’)B'C
= AB'+A'BC+A'BC‘+BC'+AB'C +A’B'C
=(AB'+AB'C)+(A'BC‘+BC') +(A’B'C+A'BC)
=AB'+BC’+A’C

Simplify the following logic functions with formula theorem in digital circuit 1.F=A/ B + A/ C + B/C/ + A/D A/+B/C/+D】 =A / B + B / C + A / C / + ad =A/B+B/C/+A/+D =A/+B/C/+D 2.F= A/B/ + A/C/D + AC + BC/ A/B/ + BC/ + AC】 3.F= A(B+C/) + A/ (B/+C) + B/C/D + BCD AB + A/C + AC/ + A/B】 Requirements: use the formula theorem of logic function to simplify the above three formulas, write the solution process (if possible, it's better to be more detailed), can't use Karnaugh map to simplify My process of simplification (all wrong) 1.F= A/B +A/C + B/C/+AD =A/BC+A/BC/+A/BC+A/B/C+AB/C/+A/B/C/+AD =A/BC+A/BC/+A/B/+AB/C/+AD =A/+AB/C/D/+AD A/+B/C/+D】 3.F= A(B+C/) + A/(B/+C) + B/C/D + BCD =AB+AB/C/ + A/B/+A/BC + AB/C/D + A/B/C/D + ABCD + A/BCD =AB+AB/C/+ A/B/+ A/BC AB + A/C + AC/ + A/B】

(A / B + B / C /) + A / C + ad = (A / B + B / C / + A / C /) + A / C + AD + ad theorem 8 = A / B + B / C / + (A / C / + A / C) + ad = A / + A / B + B / C / + ad = A / + A / B + B / C / + ad = A / + AD + B / C / = A / + D + B / C / 2F = A / B / + A / C / D + AC + A / B / = (A / B / + BC /) + A / C / D + A / C / D + AC = (A / B / + B / + A / C / C /) (A / C / D + A / C / D + AC = (A / B / C / + A / C /) + A / C / D + AC = A / B / + BC / + (A / C / + A / C / D) + AC =

Let f (x) = ax3-3x + 1 (x ∈ R), if f (x) ≥ 0 holds for any x ∈ [- 1, 1], then the value of real number a is () A. 0 B. 2 C. 4 D. 1

By F (x) = ax3-3x + 1, we can get f '(x) = 3ax2-3, (1) when a ≤ 0, 3ax2-3 < 0, the function f (x) is a decreasing function, f (x) min = f (1) = A-2 ≥ 0, the solution of a ≥ 2 is contradictory to the known; (2) when a ＞ 0, Let f ′ (x) = 0, we can get x = ± AA

What does the probability formula C mean?

C (n, m) ---- n is a subscript, M is a superscript (m above C, n below) C (n, m) means that the combination number of M selected by N is equal to the product of M natural numbers continuously decreasing from N divided by the product of M natural numbers continuously increasing from 1

How to calculate the probability formula

Probability = number of eligible / total
Probability, also known as probability, chance rate or probability and possibility, is a basic concept of mathematical probability theory. It is a real number between 0 and 1, and is a measure of the probability of random events
There are many formulas for probability. I don't know which aspect you want
When n events A1 When an is incompatible with each other: P (A1 ∪... ∪ an) = P (A1) +... + P (an)_ For any event a: A: P (a) = 1-p (non A). Property 4. When event a, B satisfies a and contains B: P (BNA) = P (b) - P (a), P (a) ≤ P (b) (b). Property 5. For any one event a, P (a) ≤ 1. Property 6. For any two events a and B, P (B-A) = P (b) - P (b) - P (AB). Property 7 (addition formula). For any two events a and B, P (a ∪ b) = P (a) + P (b) + P (b) - P (a) ∪ b) = P (a) + P (b) - P (a) ∩ (a) ∩ (a) ∩ (a) ∩ (a) for any two events a and B, P (a(note: 1 after a, 2,..., n denotes subscript.)
See resources for more formulas

May also be junior high school, you help me. Function expression If the vertex of the quadratic function y = ax 2 + BX + C is (half, 25) and intersects with X axis at two points, and the cube number of the abscissa of these two points is 19, then the expression of the quadratic function is It seems to use vertex and intersection,

If the vertex of the quadratic function y = ax 2 + BX + C is (half, 25), then let the conic be y = a (x-1 / 2) 2 + 25 = ax? - ax + A / 4 + 25, and the intersection point with X axis is (x1,0) (x2,0), then when y = 0, we use the Veda theorem X1 + x2 = 1 * X1 * x2 = 1 / 4 + 25 / A, then we can use the Veda theorem X1 + x2 = 1 * X1 * x2 = 1 / 4 + 25 / A, then we can say that X1 + x2 = (x1 + x2) &