2 Answers

Jose R · Answer 1 · 2017-05-22T17:58:13+0000

Answer:

$cos{\theta}$

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.

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