QuestionSimplify the expression $(\sin \theta - \cos \theta)^{2}$.

Studdy Solution
We know from the Pythagorean identity in trigonometry that $(\sin \theta)^{2} + (\cos \theta)^{2} =1$. We can substitute this into our expression.
$$(\sin \theta-\cos \theta)^{2} =1 -2 \sin \theta \cos \theta$$So, the simplified form of $(\sin \theta-\cos \theta)^{2}$ is $1 -2 \sin \theta \cos \theta$.