The number of values of x for which $sin 2 x + cos 4 x = 2$ is

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

infinite

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A \N
$sin 2 x + cos 4 x = 2$
$\Rightarrow sin 2 x = 1, cos 4 x = 1$
$∴ 1 - 2 {sin}^{2} 2 x = 1$ or 1 – 2 = 1(absurd)
Thus, no solution.

Suggest Corrections

Similar questions

sin 2 x + cos 4 x = 2

x

sin 2 x + sin 4 x = 2

sin 2 x + cos 4 x = 2

c o s^{2} x = c o s^{4} x

{sin}^{2} x + {cos}^{4} x,

θ

I f A = {sin}^{2} x + {cos}^{4} x

x

Join BYJU'S Learning Program