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Solve: dy/dx = cos(x + y) + sin (x + y). [Hint: Substitute x + y = z]

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Solve: dy/dx = cos(x + y) + sin (x + y). [Hint: Substitute x + y = z]

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dy/dx = cos(x + y) + sin (x + y)

Using the hint given and substituting x + y = z

We know that cos 2z = 2 cos2z – 1

and sin 2z = 2 sin z cos z

Let 1 +  tan z/2 = t hence differentiating with respect to z

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