kathrynebrown2003 kathrynebrown2003
  • 12-12-2018
  • Mathematics
contestada

If sinX= 0.9, what is the value of cos X?

Round the value to the nearest thousandth.

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NerdyAsian123
NerdyAsian123 NerdyAsian123
  • 12-12-2018

Answer: sqrt(19)/10

Step-by-step explanation:

sinx=0.9

x=arcsin(0.9)


Insert x for cos(x):

cos(arcsin(0.9)=

Use identify [tex]cos(arcsin(x))=\sqrt{1-x^{2} }[/tex], so

[tex]\sqrt{1-(\frac{9}{10})^{2}} =\sqrt{\frac{19}{100} } =\frac{\sqrt{19}}{10}[/tex]


Sorry if this is confusing.



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