- #1
hadi amiri 4
- 98
- 1
if sin(x)+cos(x)=1/3 then Sin(x)^5+Cos(x)^5=?
HallsofIvy said:x5+ y5= (x+ y)(x4- x3y+ x2y2+ xy3+ y4)
The general solution for this equation is not a simple algebraic expression, but rather a series of infinite solutions. One possible solution is x = pi/2 + 2kpi, where k is any integer.
Yes, this equation can be solved using the identities Sin(x)^2 + Cos(x)^2 = 1 and Sin(x)*Cos(x) = Sin(2x)/2.
There is not a specific method for solving this equation, as it requires a combination of algebraic manipulation and application of trigonometric identities.
There are no restrictions on the values of x for this equation, as the solutions are valid for all real numbers.
Yes, this equation can be graphed by plugging in different values for x and plotting the resulting points. The graph will show a periodic pattern with a period of 2pi.