Minimum value of function y = cos ^ 2x / 2-sin ^ 2x / 2
y=(1/2)(cos²x-sin²x)
=(1/2)cos2x
The minimum value is - 1 / 2
RELATED INFORMATIONS
- 1. Function y = cos ^ 2x-sin ^ 2x minimum
- 2. If the function f (x) = (1 + √ 3 · TaNx) cosx, 0 ≤ x < π / 2, the maximum value of F (x) is as long as the answer
- 3. What is the original function of the square of cosx?
- 4. How to find the original function of 1 divided by 1 -- (the square of cosx) dcoxx
- 5. What is the original function of the square of cosx
- 6. What is the original function of the square of (cosx + SiNx)
- 7. If x belongs to (0, Pai / 2), what is the maximum and minimum value of F (x) = (SiNx + 2) (cosx + 2)
- 8. How to find the minimum value (0) of (2-sinx) / cosx
- 9. g(x)=cos(sinx),(0
- 10. Given the function f (x) = cosx cos (x + pi / 2), X belongs to R. (1) find the maximum of F (x); (2) if f (a) = 3 / 4, find the value of sin2a
- 11. The minimum value of the function y = sin ^ 2-cos ^ 2x is
- 12. Let a be a constant and a > 1, 0 ≤ x ≤ 2 π, then the maximum value of F (x) = cos2x + 2asinx-1 is () A. 2a+1B. 2a-1C. -2a-1D. a2
- 13. Find the minimum value of the function y = cos ^ 2x + 2asinx-1, X ∈ [0,2 π), a ∈ R =
- 14. Let a be a constant and a > 0,0=
- 15. How many twin functions are there with y = 2x & sup2; + 1 and range {3,19}? If a series of functions have the same analytic expression, the same range of values, but different domain of definitions, then these functions are "twin functions" Can you make it clear?
- 16. It is known that the domain of the function f (x) = x ^ 2-ax + 3 is the domain of (2,4) when a belongs to (2,6)
- 17. Given that f [x} = AX-1 {a > 0, a ≠ 1} has both the domain of definition and the range of value [1,2], what is the value of a
- 18. Judging the parity of function f (x) - f (- x)
- 19. Judge the parity of the following functions (1) f (x) = | 1 / 2x-3 | + | 1 / 2x + 3|
- 20. Judge the parity of (1) f (x) = 1 / 2x. (2) f (x) = - 2x + 5. (3) f (x) = X4 + x2-1. (4) f (x) = 2x3-x By the way, write down its domain