It is known that the period of F (x) = asinwx + bcoswx, (W > 0) defined on R is Π, and f (x)

X &;, X &; ∈ (0, π) indicates that X &; and X &; are in the same period,
F (X &;) = f (X &;) = - 2 shows that X &; and X &; are symmetric about a certain axis of symmetry, x = a, a ∈ (0, π)
From F (x) ≤ f (π / 12), we know that the axis of symmetry in a period is x = π / 12,
The distance between two adjacent symmetry axes is t / 2 = π / 2
So a = π / 12 + π / 2 = 7 π / 12, i.e. X &; + X &; = 2A = 7 π / 6

RELATED INFORMATIONS

1. Let f (x) = asinwx plus bcoswx (W greater than 0) be a function defined on R. Let f (x) be less than or equal to f (12 / 12) = 4 Let f (x) = asinwx plus bcoswx (W greater than 0) be a function defined on R, and f (x) be less than or equal to f (12 / 12) = 4. Let the real numbers X1 and X2 belong to (0, pie), and f (x1) = f (x2) = negative 2, then find X1 plus x2
2. It is known that the period of F (x) = asinwx + bcoswx, (W > 0) defined on R is Π, and f (x)
3. What is the period of simple harmonic motion related to
4. Physical periodic harmonic motion in grade one of senior high school For a spring oscillator, the velocity at t is V, the velocity at t is V, and the direction is the same A. It could be more than a quarter of a cycle B. It could be less than a quarter of a cycle C. It must be less than half a period D. Probably equal to half a cycle Please explain the solution carefully, thank you
5. It's a sentence I saw when I was talking about simple pendulum "When the amplitude is small, the period is independent of the amplitude." I feel that this sentence is very confusing. When is the period related to amplitude,
6. Harmonic motion The cube block with mass m and side area s is placed on the water surface at rest. Force F to press it into the water for a certain depth, and then remove the external force. The block moves up and down on the water surface. Is the vibration of the block a simple harmonic motion? Give reasons,
7. Put a spring on the ground. Now put a small ball on the spring lightly. At this time, the spring will compress. When the elastic force equals the gravity of the small ball, will the small ball still press down? After reaching the lowest point, will the point where the elastic force equals the gravity be taken as the equilibrium position to make a simple harmonic motion? Why not do simple harmonic motion?
8. Simple harmonic motion The acceleration of gravity in Beijing is 9.8012 meters per second. What's the length of the second pendulum in Beijing According to the formula, we need to know the period to get the pendulum length The title does not give a period How should I ask for it
9. A problem of simple harmonic motion in high school physics A. B is a spring ballast composed of two objects. In the process of vibration, a and B always keep relatively static. A is placed on B, and the spring is connected to B. why is the image of the relationship between the friction force F on a and the displacement X of the ballast y = - x? Here I know that the friction force is the restoring force of a, but don't the displacement and restoring force change in the same direction? Why isn't their relationship image y = x?
10. For an elastic rope placed horizontally, the right end o vibrates in the vertical direction with a period of 0.4s. If t = 0, the right end starts to vibrate upward. Please draw the waveform on the rope when t = 0.5s
11. What is asin (Wx + φ) + B = (ymax + yman) / 2
12. Given f (x-1 / x) = x2 + 1 / X2, the expression of function f (x) is
13. Given the function f (x) = 2x-1, find the expression of F (x2) I feel dizzy=
14. Given that the function f (x) is an odd function and the domain of definition is r, when x > = 0, f (x) = - x2-2x, find the expression of F (x) in the domain of definition
15. It is known that the domain of function y = f (x) is R +, f (8) = 3. For any x ∈ R, f (x1x2) = f (x1) + F (x2) conjecture expression Reasonable reasoning content, .' | | / | |/-.( | |\_ ._ \ | | \ \`;| | > |/| | / // | | |// | | \(\ | | `` | | | | | | | | | \\ _ _ \\| \// |//_ _ \// _ ^ `^`^ ^`` `^ ^` ``^^` `^^` `^ `^
16. Let f (x) be a periodic function, and the minimum positive period is 2, and f (1 + x) = f (1-x), if - 1
17. Whether to use quotation marks in VFP field validity rules and expressions
18. Let L = 16, M = 15, NL = 19, n = L-M, the value of the expression n & n-1? What does n & n mean?
19. The difference between database table and free table
20. What's the difference between free table and database in VFP? How many parts does a table consist of? What are the steps to create a table?