SOLUTION: if sin(x)+cos(x)=1/2 then find the values : (1) sin(x)*cos(x) (2) sin^2(x)+cos^2(x) (3) sin^3(x)+cos^3(x) thank you in advance

Question 1083298: if sin(x)+cos(x)=1/2 then find the values :
(1) sin(x)*cos(x)
(2) sin^2(x)+cos^2(x)
(3) sin^3(x)+cos^3(x)
thank you in advance
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
(1) sin(x)*cos(x)

Given: 

Square both sides:













---------------

(2) sin^2(x)+cos^2(x)

That's just 1.

-----------------------------------

(3) sin^3(x)+cos^3(x)

Factor as the sum of two cubes:



Plug in the values from above parts:









Edwin

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