F (x) = the maximum of cosx - (SiNx) ^ 2 | Math enthusiast | Mathematical art

F (x) = the maximum of cosx - (SiNx) ^ 2

∵ f (x) = cosx-1 + cos & sup2; X = cos & sup2; X + cosx + 1 / 4-5 / 4 = (cosx + 1 / 2) & sup2; - 5 / 4 │ cosx │≤ 1 = = > - 1 ≤ cosx ≤ 1 = = > - 1 / 2 ≤ cosx + 1 / 2 ≤ 3 / 2 = = > - 3 / 2 ≤ cosx + 1 / 2 ≤ 3

RELATED INFORMATIONS

1. Given that SiNx times cosx is equal to 1 / 8, and Pie / 4 is less than X and Pie / 2, what is cosx SiNx equal to?
2. It is known that sinxcosx = 60 / 169 and π / 4
3. Given SiNx cosx = 1 / 2, the value of sinxcosx is____ (process!)
4. X is (0, π / 2). If sinxcosx = 1 / 2, find the value of 1 / (1 + SiNx) + 1 / (1 + cosx)
5. (SiNx + cosx) / (SiNx cosx) = 2, then sinxcosx =?
6. Find the range of function f (x) = SiNx sinxcosx + cosx, X ∈ (π / 2,3 π / 2)
7. If x is less than or equal to 90 degrees, greater than or equal to 0 degrees, SiNx * cosx = 1 / 2, then 1 / (1 + SiNx) + 1 / (1 + cosx) =? Detailed process! I'll collect it in an hour
8. Given the vector α = (cosx, SiNx), B = (√ 2, √ 2), a · B = 8 / 5, then the value of Tan (x - π / 4) is
9. Given the vector a = (1 / 2, √ 3 / 2), B = (cosx, SiNx). If a · B = 2cos [(12K π + 13 π) / 6 + x] (K ∈ z), find the value of Tan (x + 5 π / 12) Only the answer is OK
10. Given that the vector a = (SiNx, 2) the vector b = (|, - cosx), and the vector a is perpendicular to the vector B. 1::: find the value of TaNx 2: find the value of Tan (x-wu / 4),
11. What is the maximum value of F (x) = SiNx + cosx? (the value range of X is R)
12. What is the maximum value of F (x) = sinx-2 / cosx + 1? 2, find the solution set of inequality | root x-1-2 | 1 3. Given the equation of circle (x-1) ^ 2 + (Y-1) ^ 2 = 8 and the straight line is x + y = 0, how many points on the circle whose distance to the straight line is equal to the root 2? For the first question, with options, a, 3 / 4, B, - 4 / 5, C-3 / 4, D, 4 / 5
13. F (x) = SiNx (1 + cosx) maximum
14. FX = ((x ^ 3 + SiNx) / (x ^ 2 + cosx)) + 1 the maximum value of X on (- π / 2, π / 2) is m, and the minimum value is m, then M + M=
15. Given the vector a = (cosx, SiNx) B = (cosx, - 2) C = (- 1, - 1), where x belongs to R (1), find the maximum value of FX = a * B, and find the set of X at this time (2) Find the maximum absolute value of a-c,
16. What is the maximum value of the function f (x) = cosx ^ 3 + SiNx ^ 2-cosx on [0, π]
17. What is the maximum and minimum of y = SiNx + cosx between 0 and 90 degrees
18. Mathematical problem y = (2 λ sinx-1) (2 λ cosx + 1) Find the function y = (2 λ sinx-1) (2 λ cosx + 1), {λ is not equal to 0, and 0 is greater than or equal to X and less than π} Maximum value of
19. Simplify the period f (x) = (SiNx + sin3x) / (cosx-cos3x) The answer is π / 2 why? I reduced it to 1 / TaNx, but why is the period half π
20. The function f (x) = 2sinx (SiNx + cosx) is given (1 / 2) pro, the function f (x) = 2sinx (SiNx + cosx) is known. Find the minimum positive period of F (x), find the maximum value of F (x) and take