What is sin 0 when sec 0 = 5? 0 |(1,0) sin e = 2[?] [] Rationalize the denominator if necessary.

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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