Solve for , : .

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- March 5th 2009, 07:28 AMjames_bondSolve the trigonometric equation
Solve for , : .

- March 5th 2009, 07:42 AMHallsofIvy
One possibility is that both those powers of 25 be equal to 1 so that 1+ 1= 2. In that case we must have and . Adding those 2 equations, 1+ 2(cos x+ cos y)+ 2= 0 or cos x+ cos y= -3/2. From that cos y= -3/2- cos x. You can put that into to get a quadratic equation for cos x and then find x and y.

- March 5th 2009, 08:08 AMred_dog

The equality stands if

Adding the equations we have

Now find x and y.