Monotone increasing interval of function y = xcosx SiNx

If increasing, then y '> - 0
y'=cosx+x(-sinx)-cosx
=-xsinx>0
xsinx

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11. Given that f (x) = x, G (x) = RF (x) + SiNx is a decreasing function on the interval [- 1,1] Finding the maximum of R
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14. If the square of SiNx + cosx + k = 0 has a solution, then the value range of constant k is small
15. The equation SiNx + cosx = a for X is known (1) If the equation has a real solution, find the value range of real number a (2) If the equation has two different real number solutions when x ∈ [0, π], find the value range of real number a and the sum of two real number solutions [- radical 2, + radical 2]; π / 2 The second problem I did was π Please write the detailed process and thinking
16. Solution 3 (SiNx) ^ 2-sinxcosx-2 (cosx) ^ 2 = 1
17. If x is the minimum internal angle of a triangle, then the maximum value of the function y = SiNx + cosx + sinxcosx is () A. -1B. 2C. −12+2D. 12+2
18. Is SiNx = 1 symmetric about the origin? What about cosx = 1? Why?
19. The minimum positive period of y = (SiNx cosx) / (SiNx + cosx) Write the detailed steps, online, etc. thank you
20. What is the minimum positive period of y = (SiNx cosx) ^ 2-1?