Math  /  Trigonometry

Questionb) tan2xsinxsinx3=0\tan ^{2} x \sin x-\frac{\sin x}{3}=0 c) cos2x+(122)cosx24=\cos ^{2} x+\left(\frac{1-\sqrt{2}}{2}\right) \cos x-\frac{\sqrt{2}}{4}=

Studdy Solution
For tan2xsinxsinx3=0\tan ^{2} x \sin x-\frac{\sin x}{3}=0, x=nπx = n\pi, and x=π6+nπx = \frac{\pi}{6} + n\pi, where nn is an integer.
For cos2x+(122)cosx24=0\cos ^{2} x+\left(\frac{1-\sqrt{2}}{2}\right) \cos x-\frac{\sqrt{2}}{4}=0, x=π4+2nπx = \frac{\pi}{4} + 2n\pi, x=7π4+2nπx = \frac{7\pi}{4} + 2n\pi, x=2π3+2nπx = \frac{2\pi}{3} + 2n\pi, and x=4π3+2nπx = \frac{4\pi}{3} + 2n\pi, where nn is an integer.

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