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Question Number 187871 by mustafazaheen last updated on 23/Feb/23

how is solution  sgn(cos((21)/(10)))=?

$${how}\:{is}\:{solution} \\ $$$$\mathrm{sgn}\left(\mathrm{cos}\frac{\mathrm{21}}{\mathrm{10}}\right)=? \\ $$

Answered by mr W last updated on 23/Feb/23

((21)/(10))=2.1 >(π/2) but <π  ⇒cos ((21)/(10)) <0  ⇒sgn(cos ((21)/(10)))=−1

$$\frac{\mathrm{21}}{\mathrm{10}}=\mathrm{2}.\mathrm{1}\:>\frac{\pi}{\mathrm{2}}\:{but}\:<\pi \\ $$$$\Rightarrow\mathrm{cos}\:\frac{\mathrm{21}}{\mathrm{10}}\:<\mathrm{0} \\ $$$$\Rightarrow{sgn}\left(\mathrm{cos}\:\frac{\mathrm{21}}{\mathrm{10}}\right)=−\mathrm{1} \\ $$

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