Question

$3\sin ^{2}2x+\sqrt {3}\sin 4x+\cos ^{2}2x=0$

denkleminin bir kökü ?(radyan cinsi )

Answer 1

İpucu:

$$3\sin^22x+\sqrt{3}\sin 4x+\cos^22x=0$$

$$\Rightarrow$$

$$3\sin^22x+2\sqrt{3}\sin 2x\cdot\cos 2x+\cos^22x=0$$

$$\Rightarrow$$

$$(\sqrt{3}\sin 2x+\cos2x)^2=0$$

$$\Rightarrow$$

$$\sqrt{3}\sin 2x+\cos2x=0$$

$$\Rightarrow$$

$$\tan 2x=-\frac{1}{\sqrt{3}}$$

Comments

teşekkürler hocam :)