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Question Number 14592 by Tinkutara last updated on 02/Jun/17

Commented by mrW1 last updated on 02/Jun/17

$$\mid \cos x\mid =\frac{q}{p}⩽1$$$$\mid \cos y\mid =\frac{u}{v}⩽1$$$$\mid \cos z\mid =\frac{1}{\frac{qu}{pv}}=\frac{pv}{qu}⩾1⩽1$$$$thatmeanstheabsolutevalueof$$$$\cos x,\cos yand\cos zmustbe1.$$$$thereare4possibilities:$$$$(x,y,z)=(0,0,0),(0,\pi ,\pi ),(\pi ,0,\pi ),(\pi ,\pi ,0)$$

Commented by Tinkutara last updated on 03/Jun/17

$$\mathrm{Thanks}\mathrm{Sir}!$$

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