Given the function FX = SiNx + cosx, X belongs to [- open / 2, Wu / 2] to find the maximum and minimum value of FX

fx=√2(√2/2 sinx+√2/2cosx)=√2(cos45°sinx+sin45°cosx)=√2sin(45°+x)

RELATED INFORMATIONS

1. Calculate the fourth power of (x-4)=
2. The result of calculating the fourth power of - X and the fifth power of * x is
3. 2X * (- x) 4 power + (- x) 5 power calculation
4. 3.2 / 1.60.3x = 4.4
5. Solve the equation 2 / 3x + 6 = 80% in detail
6. Solving equation 3x = x + 100
7. 3x = x + 100 (solution equation)
8. 100-3x = 70.3
9. If we solve the equation 2x / (x + 1) = A / (x + 2) + 1 / (x ^ 2 + 3x + 2), there will be an increasing root?
10. If the equation (x + 1) / (2x-2) = (x + k) / (3x-3) about X has increasing roots, find the value of increasing roots and K
11. Finding the maximum and minimum of trigonometric function in high school mathematics (p90,27) Y = SiNx - radical (3) cosx, X ∈ R; According to the difference angle formula of trigonometric function, 2Sin (x - π / 3) = SiNx - radical (3) cosx can be obtained Yin-1
12. It is known that the function f (x) defined on R with the minimum positive period of 5 satisfies f (- x) = - f (x), And f (3) = 0, then in the interval (0,10), the number of solutions of the equation f (x) = 0 is?
13. Let f (x) be an odd function with a period of 3 and f (- 1) = 1, then f (2008) =?
14. It is known that the function f (x) is an even function on R, satisfying f (x) = - f (x + 1). When x ∈ [20112012], f (x) = x-2013, then () A. f(sinπ3)＞f(cosπ3)B. f（sin2）＞f（cos2）C. f(sinπ5)＜f(cosπ5)D. f（sin1）＜f（cos1）
15. Function f (x) = (1 + x-x22 + x33-x44 + -The number of zeros of cos2x on interval [- 3, 3] is () A. 3B. 4C. 5D. 6
16. Given the function f (x) = X21 + X2, then f (12013) + F (12012) + F (12011) + +f(12)+f(1)+f（2）+f（3）+… +f= ___ ．
17. Given the function f (x) = 1 / (1 + x ^ 2), then f (2013) + F (2012) + F (2011) + +f(2)+f(1)+f(1/2)+…… The value of F (1 / 2011) + F (1 / 2012) + F (1 / 2013) is
18. If f (x + 2) - f (x) = 1 holds, is f (x) a periodic function?
19. Excuse me: judge the number of zeros of function f (x) = xsinx-3 / 2 in (0, π) and prove it thank you.
20. How to prove that f = xsinx is not a uniform continuous function on R? That is to say, it is proved that X and Y belong to R. when x approaches y, f (x) does not approach f (y) Could you give me a hint how to prove it?