Cos2x / sin (x + 45 °) = 1 / 2, then what is sin2x equal to

Cos2x / sin (x + 45 °) = 1 / 2, then what is sin2x equal to

cos2x/sin(x+45°) =1/2 [cos^2x-sin^2x] /(sinxcos45°+cosxsin45°) = 1/2[(cosx+xinx)(cosx-sinx)] / [√2/2(cosx+sinx)] = 1/2cosx-sinx = √2/4(cosx-sinx)^2 = 1/4cos^2x-2cossinx+sin^2x = 1/41-sin2x = 1/4s...

A monotone increasing interval of the function y = sin (x - π / 4) is

A monotone increasing interval of the function y = sin (x - π / 4) is
2kπ-π/2

The monotone increasing interval of function f (x) = sin (x + Pie / 4) is

f（x）=sin(x+π/4)
It is equivalent to moving the graph f (x) = SiNx to the left by π / 4
Therefore, the increasing range
[ -3π/4 + 2nπ ,π/4 +2nπ ]

How to solve - 4 / 3x + 16 / 3 ≥ 4 / x? Speed!

16 / 3 is greater than or equal to 16 / 3x (4 / x = 12 / 3x), so if x is greater than or equal to 1, choose me

How to do x = 2 / 3x + 16 and what to solve

x=2/3X+16
x-2/3x=16
1/3x=16
x=16*3
x=48

{3x+5x=19 3x-5y=-1

3x+5y=19
3x-5y=-1
6x=18
x=3
y=2

2x+3y＝144x−5y＝6.．

2X + 3Y = 14, ① 4x − 5Y = 6, ②, ① × 2, 4x + 6y = 28, ③ - ②, 11y = 22, the solution is y = 2, substituting y = 2 into ①, 2x + 3 × 2 = 14, the solution is x = 4, so the solution of the equations is x = 4Y = 2

Beibei and Jingjing calculate an integral multiplication problem together: (2x + a) (3x + b). Beibei accidentally copied the sign of a in the first polynomial, and got the following result

（1）(2x+a)(3x+b)
＝6x²+2xb+3xa+ab
＝6x²＋x（2b＋3a）＋ab
∵ A: 6x & sup2; + 11x-10, B: - 9x & sup2; - 9x + 10
∴ab＝10 －9÷3＝－3
2b－3a＝11
－3b＋3a＝－9
∴a＝－5
b＝－2
A: a = - 5, B = - 2
(2) If a = - 5 and B = - 2 are brought in, we get: (2x-5) (3x-2)
＝6x²－4x－15x＋10
＝6x²－19x+10

Given that the product of polynomial (x ^ 2 + PX + Q) (x ^ 2-3x + 2) does not contain x ^ 2 and x ^ 3, find Q and P
If the coefficients of quadratic and cubic terms are opposite to each other, find the relationship between P and Q

The product of two polynomials x2 + PX + 8 and x2-3x + 1 does not contain X3 term. Try to find the value of P

(x2 + PX + 8) (x2-3x + 1) = x4-3x3 + x2 + px3-3px2 + PX + 8x2-24x + 8. If there is no X3 term in the product, we get - 3 + P = 0, and the solution is p = 3