Answer:
\(cos{\theta}\)
Step-by-step explanation:
The given equation will be of the form:
\(\sqrt{(1-sin{\theta})(1+sin{\theta})}\)
Simplifying the above equation, we get
Using identity, \((a+b)(a-b)=a^2-b^2\)
=\(\sqrt{1^2-(sin{\theta})^2}\)
=\(\sqrt{1-sin^2{\theta}}\)
=\(\sqrt{cos^2{\theta}}\)
=\(cos{\theta}\)
which is the required simplified form of the given equation.
