- #1
mathelord
if arc cos[p] +arc cos[q] +arc cos[r] =180,
prove that psquared +qsquared +rsquared +2pqr =1
i need a comprehensive solution
prove that psquared +qsquared +rsquared +2pqr =1
i need a comprehensive solution
To me it quite clearly reads as:VietDao29 said:Do you mean:
if [tex]\arccos p + \arccos q + \arccos r = 180[/tex] then [tex]\sqrt{p} + \sqrt{q} + \sqrt{r} + 2pqr = 1[/tex]?
Maybe I am wrong, but if you mean that, it's a wrong problem.
p = 0.573576
q = 0.422618
r = 0.5
Am I missing something?
Viet Dao,
And why is that ? p, q, r are NOT angles !bao_ho said:if the angles are given in degrees then
p*p + q*q + r*r +2*p*q*r != 1
You could start by doing:mathelord said:if arc cos[p] +arc cos[q] +arc cos[r] =180,
prove that psquared +qsquared +rsquared +2pqr =1
i need a comprehensive solution
The purpose of proving this equation is to demonstrate a mathematical relationship between four variables and a constant. It is also used in various mathematical concepts and formulas.
The constant value of 1 in this equation serves as a reference point or a benchmark for the variables. It helps to understand the relative values and relationships between the variables.
This equation can be applied in various fields such as physics, engineering, and finance. For example, it can be used to calculate the surface area of a cube, determine the forces acting on an object, or solve for the interest rate in compound interest.
The steps to prove this equation may vary depending on the context and approach. However, a general approach would involve simplifying both sides of the equation, substituting values for the variables, and performing algebraic manipulations to show that both sides are equal.
One common misconception is that the variables p, q, and r must be integers for the equation to hold true. In reality, they can be any real numbers. Another misconception is that this equation can only be applied to three variables. However, it can be extended to include more variables, as long as they follow the same pattern.