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