ethyn0203
ethyn0203 ethyn0203
  • 22-05-2021
  • Mathematics
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What is sin 0 when sec 0 = 5? 0 |(1,0) sin e = 2[?] [] Rationalize the denominator if necessary.​

What is sin 0 when sec 0 5 0 10 sin e 2 Rationalize the denominator if necessary class=

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Аноним Аноним
  • 22-05-2021

Answer:

[tex]Sin ~0 =\frac{2\sqrt{5} }{5}[/tex]

Step-by-step explanation:

[tex]sec0=\sqrt{5}[/tex]

[tex]cos~0=\frac{1}{sec0} =\frac{1}{\sqrt{5} }[/tex]

[tex]sin ~0=\sqrt{1-cos^2~0}[/tex]

[tex]=\sqrt{1-1/5}=\sqrt{5-1/5}[/tex]

[tex]Sin~0=\sqrt{4/5} =2/\sqrt{5}*\sqrt{5}/\sqrt{5}[/tex]

[tex]Sin~0=2\sqrt{5}/2=2\sqrt{5}/5[/tex]

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hope it helps...

have a great day!!!

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