Let x belong to {0, π / 2}. F (x) = sin (cosx), G (x) = cos (SiNx) find the maximum and minimum of F (x) and G (x)

Let x belong to {0, π / 2}. F (x) = sin (cosx), G (x) = cos (SiNx) find the maximum and minimum of F (x) and G (x)


Y = sin ^ 2 (x) 2sinxcosx 3cos ^ 2 (x) = sin ^ 2 (x) 2sinxcosx 2cos ^ 2 (x) = 1 sin 2x 2cos ^ 2 (x) = 2 sin 2x (2cos ^ 2 (x) - 1) = sin 2x cos 2x 2 = √ 2 (sin 2X * (√ 2 / 2) cos 2x * (√ 2 / 2)) 2 = √ 2 (sin (2x (π) / 4) 2



The solution equation is: | 4x - | 4x-4 | + 6 | = 16-6x


If x > = 1 | 4x-4x + 4 + 6 | = 10 = 16-6x - > x = 1, the solution is 1
If x



The solution of the equation AX + a = X-9 of X is equal to the solution of 2x + 5 = 4x-3


The solution x = 4 of 2x + 5 = 4x-3
The solutions of the two equations are the same, and x = 4 is replaced by ax + a = X-9
Then 5A = - 5, so a = - 1



9X(4x-7)—(6x+5)(6x—5)+38=0


9X(4x-7)—(6x+5)(6x—5)+38=0
36x^2-63x-36x^2+25+38=0
63x=25+38
63x=63
x=1



-Simple calculation of 1,1 / 4x-3,5 / 4
-Simple calculation of 1,1 / 4x (- 3) and 5 / 4


Hello
-1 and 1 / 4x-3 and 5 / 4
=5/4x19/5
=19/4
If you don't understand this question, you can ask. If you are satisfied, please click "adopt as a satisfactory answer" in the lower right corner
If you have any other questions, please take this question and send it to me. Please understand
I wish you progress in your study_ ∩)O
thank you.



Simple operation of 17 and 3 / 7 + 4 / 17-7 and 3 / 7


17 and 3 / 7 + 4 / 17-7 and 3 / 7
=17 and 3 / 7-7 and 3 / 7 + 4 / 17
=10+4/17
=10 and 4 / 17



-Simple calculation of 17 * (- 3 and 1 / 17)
-17 * (- 3 and 1 / 17)
99 and 62 / 72 * (- 36)
(-125)*(-25)*(-5)*(-2)*(-4)*
(-8)
57*55/56+27*27/28
Right now,


-17 * (- 3 and 1 / 17)
=17 * (3 and 1 / 17)
=17*3+17*1/17
=51+1
=52
99 and 62 / 72 * (- 36)
=(100-10/72)*(-36)
=100*(-36)-10/72*(-36)
=-3600+5
=-3595
(-125)*(-25)*(-5)*(-2)*(-4)*(-8)
=(-125)*(-8)*(-25)*(-4)*(-5)*(-2)
=1000*100*10
=1000000
57*55/56+27*27/28
=[56+1]*55/56+(28-1)27/28
=56*55/56+55/56+28*27/28-27/28
=55+55/56+27-27/28
=82+1/56
=82 1 / 56
I wish you progress in your study



Simple calculation of 0.25 × 49 + 3 / 4 × 17


=0.25*49+(1-0.25)*17=17+0.25*(49-17)=17+8=25



Simple calculation of 2x + 3 / 4x = 11


(2+3/4)x=11
(11/4)x=11
x=11÷11/4
x=4



The solutions of the equations 4x + 3Y = 17, 10x-y = 17 are___ .


We can get 4x + 3Y = 17 (1) 10x-y = 17 (2), y = 10x-17 (3) from (2), substituting (3) into (1), x = 2, substituting (2) into (2), y = 3. Then the solution of the equations is x = 2Y = 3