trigonomity

if sinθ+cosθ=√2 then θ=°?

\(\begin{array}{|rcll|} \hline \text{If }\sin(\theta) + \cos(\theta)=\sqrt{2} \\ \text{ then } \theta=^{\circ}\ ? \\ \hline \end{array} \)

\(\begin{array}{|rcll|} \hline \text{Let } \sin(45^{\circ}) = \cos(45^{\circ}) &=& \frac{\sqrt{2}}{2} \\ \text{then} \sin(45^{\circ})+ \cos(45^{\circ}) &=& 2\cdot \frac{\sqrt{2}}{2} \\ &=& \sqrt{2} \\ \hline \end{array} \)

\(\theta=45^{\circ}\)