Question

Simplify square root parenthesis 1 minus sine theta parenthesis times parenthesis 1 plus sine theta parenthesis.

Answer 1

answer is Cos theta
find the attachments for detailed solution

Answer 2

`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.