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Question-180254




Question Number 180254 by Noorzai last updated on 09/Nov/22
Answered by mr W last updated on 09/Nov/22
(2−(√3))^(cos x) =((1/(2−(√3))))^(sin x) =(2−(√3))^(−sin x)   ⇒cos x=−sin x  ⇒cot x=−1
$$\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{\mathrm{cos}\:{x}} =\left(\frac{\mathrm{1}}{\mathrm{2}−\sqrt{\mathrm{3}}}\right)^{\mathrm{sin}\:{x}} =\left(\mathrm{2}−\sqrt{\mathrm{3}}\right)^{−\mathrm{sin}\:{x}} \\ $$$$\Rightarrow\mathrm{cos}\:{x}=−\mathrm{sin}\:{x} \\ $$$$\Rightarrow\mathrm{cot}\:{x}=−\mathrm{1} \\ $$

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