The function y = sin (x + β) (0 ≤ β ≤ π) is an even function on R. how to find the value of β?

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• 1. If the function y = sin (x + Q) (0 ≤ Q ≤ PI) is even on R, what is the value of Q
• 2. If the function y = sin (x + a) is even, then the possible value of a is?
• 3. If the function y = sin (2x + φ) (0 is less than or equal to φ, less than or equal to π) is an even function on R, then= The function y = sin (2x + φ) is an even function on R, Then sin (- 2x + φ) = sin (2x + φ) The expansion is: sin φ cos2x cos φ sin2x = sin φ cos2x + cos φ sin2x So cos φ sin2x = 0. Cos φ = 0, φ = π / 2 "Ask," how is it expanded: sin φ cos2x cos φ sin2x = sin φ cos2x + cos φ sin2x "
• 4. It is known that the function f (x) = ax to the third power + 2x to the second power + bx-4 has a maximum value - 4 when x = - 1 (1) Find the analytic expression of y = f (x), and find the monotone interval (2) Solving inequality f '(x) > ax + A
• 5. It is known that f (x) is an odd function on R. when x is greater than or equal to 0, f (x) = 2 to the power of X + 2x + B, then f (- 1) is an important process
• 6. If f (x) = AX2 + BX + C is an even function in the interval [a, C], then the monotone increasing interval of F (x) is
• 7. Given that f (x) = AX2 + BX is an even function defined on [A-1, 2A], then the value of a + B is () A. −13B. 13C. −12D. 12
• 8. If f (x) is an increasing function in the interval [a, b], and the minimum value is 2, f (x) is an even function, then f (x) is the minimum value in the interval [- A, - b]=
• 9. If the even function f (x) is an increasing function in the interval [3,7], and the minimum value is 5, it is judged that f (x) is in the interval [- 7, - 3]
• 10. If the odd function f (x) is an increasing function in the interval [3,7] and the maximum value is 5, then f (x) is () A. Decreasing function and minimum is - 5B. Increasing function and maximum is - 5C. Decreasing function and maximum is - 5D. Increasing function and minimum is - 5
• 11. If the function y = sin (x + &) (0 ≤ & ≤ π) is an even function on R, then what is the number of
• 12. If f (x) = ax square plus bxjia 3A plus B is even function, and the domain of definition is (a-1,2a), then how much is a equal to? How much is B equal to?
• 13. If the function f (x) = x square + ax is even, then what is a equal to?
• 14. If the function f (x) = 2x minus ax plus 5 is even, then a is equal to?
• 15. If f (x) satisfies f (x) + 2F (1 / x) = 3x (x is not equal to 0), then f (x)=
• 16. It is known that when x = - 2, the value of the cubic power + BX + 3 of the polynomial ax is 0, then when x = - 2, the value of this algebraic expression is 0______ Quick good to points! It is known that when x = - 2, the value of polynomial a multiplied by the third power of X + BX + 3 is 0, then when x = - 2, the value of this algebraic expression is 0______ Quick good to points!
• 17. X = 2. Ax ＾ 2 + bx-3 is 6. If x = 1, the algebraic formula (2aX ＾ 3 + bx-5) ＾ 3 is X
• 18. When x = - 2, the value of ax ^ 3 + bx-63 is 17. Find the algebraic formula - 2aX ^ 3-20-2bx when x = 2
• 19. X = 2, the fifth power of the polynomial ax + the cube of BX + cx-5 value = 9, x = - 2, the polynomial (A-4) of X, the cube of X - the B power of X + X-B is a binomial, a =, B=
• 20. The parabola y = 2x & # 178; + 8x + 3 has several common points with the X axis. The coordinates of the common points are