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1-sin-2-x-2-find-x-




Question Number 207463 by hardmath last updated on 16/May/24
1 − sin^2  x = (√2)     find:  x = ?
$$\mathrm{1}\:−\:\mathrm{sin}^{\mathrm{2}} \:\mathrm{x}\:=\:\sqrt{\mathrm{2}}\:\:\:\:\:\mathrm{find}:\:\:\boldsymbol{\mathrm{x}}\:=\:? \\ $$
Answered by Frix last updated on 16/May/24
cos^2  x =(√2)>1 ⇒ no solution for x∈R
$$\mathrm{cos}^{\mathrm{2}} \:{x}\:=\sqrt{\mathrm{2}}>\mathrm{1}\:\Rightarrow\:\mathrm{no}\:\mathrm{solution}\:\mathrm{for}\:{x}\in\mathbb{R} \\ $$

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