Answer :

Given,


sin θ + cos θ = 1


We need to solve the above equation.


If we can convert this to a single trigonometric ratio, we can easily give its solution by using the formula.


sin θ + cos θ = 1



{ sin(π/4)=cos(π/4) = 1/√2}


We know that: sin(A+B) = sinAcosB + cosAsinB




Formula to be used: If sin θ = sinα θ = nπ + (-1)nα


θ + π/4 = nπ + (-1)n(π/4)


θ = nπ + (π/4)((-1)n – 1)


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