SOLUTION: simplify sin(π/2 -x) + sin(π-x) + sin(3π/2 -x) + sin(2π-x)

Algebra.Com
Question 1192651: simplify sin(π/2 -x) + sin(π-x) + sin(3π/2 -x) + sin(2π-x)
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
simplify sin(π/2 -x) + sin(π-x) + sin(3π/2 -x) + sin(2π-x)
------------
sin(pi/2 - x) = cos(x)
sin(pi - x) = sin(x)
sin(3pi/2 - x) = -cos(x)
sin(2pi - x) = -sin(x)
==============
Sum = zero.

RELATED QUESTIONS

Simplify:... (answered by lwsshak3)
simplify sin x - sin^2 x *... (answered by Alan3354)
sin^2(x)+sin(x)=0 (answered by josgarithmetic)
2 sin x =... (answered by stanbon)
Prove: sin x + sin 3x + sin 5x = (sin^2 3x)/ sin... (answered by Edwin McCravy)
sin(pi/2)-x (answered by stanbon)
sin(x+pi/2) (answered by Alan3354)
Solve sin(2x) = sin(x/2)... (answered by Alan3354)
Simplify... (answered by jim_thompson5910)