√(1+sin 2x) =√(sin^2x+cos x^2+2sin x·cos x) =√((sin x+cos x)^2) =sin x+cos x . ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Logarithms

Simplify √1...

Question

Simplify $\sqrt{1 + sin 2 x}$

Open in App

Solution

$\sqrt{1 + sin 2 x}$
$= \sqrt{{sin}^{2} x + cos x^{2} + 2 sin x \cdot cos x}$
$= \sqrt{(sin x + cos x)^{2}}$
$= sin x + cos x$ .

Suggest Corrections

Similar questions

\sqrt{\frac{1 + sin 2 x}{1 - sin 2 x}}

\frac{{sin}^{2} x}{1 + cos x}

\frac{cos x - sin x}{1 + sin 2 x}

3 cos x - 4 sin x cos x - {sin}^{2} x - 1

\frac{sin 2 x}{2 {cos}^{2} x}

Join BYJU'S Learning Program