Thread: Solution to Trig Equation

Find all solutions of the equation in the interval of (0, 2π):

sin(x+π/4)+sin(x-π/4)=1

Originally Posted by adam456006

Find all solutions of the equation in the interval of (0, 2π):

sin(x+π/4)+sin(x-π/4)=1

From the compound angle formulae: sin(A + B) + sin(A - B) = 2 sin A cos B. In your case B = pi/4. So your equation can be written as a very simple one ....