Simplify: \((1 - \sin \theta)(1 + \sin \theta)\).

Simplify: \((1 - \sin \theta)(1 + \sin \theta)\).

Answer Details

Expanding the given expression using the identity \((a+b)(a-b)=a^2-b^2\), we get: $$(1-\sin\theta)(1+\sin\theta)=1^2-\sin^2\theta=\cos^2\theta$$ Therefore, the simplified expression is \(\cos^{2} \theta\).