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Mathematics 17 Online
OpenStudy (anonymous):

Can anyone help me?

OpenStudy (anonymous):

Find the value of cos θ for the angle shown.

OpenStudy (mathstudent55):

Can you use a calculator?

OpenStudy (anonymous):

yes i have a graphing calculator

OpenStudy (mathstudent55):

|dw:1359657777250:dw|

OpenStudy (anonymous):

so would I plug something into cos? like one of the coordinates shown becasue the pic does not show any values for the angles

OpenStudy (mathstudent55):

Since you have the x- and y-coordinates, you can use those as the sides of a right triangle and calculate the hypotenuse. |dw:1359657904096:dw|

OpenStudy (mathstudent55):

First calculate the hypotenus using the Pythagoras theorem.

OpenStudy (anonymous):

so I would use a^2+b^2=c^2?

OpenStudy (mathstudent55):

yes

OpenStudy (anonymous):

so c=7

OpenStudy (mathstudent55):

Correct.

OpenStudy (anonymous):

so do I now use \[\cos \theta= \frac{ adjacent }{ hyp }\]

OpenStudy (mathstudent55):

Now using cos(theta) = adj/hyp, substitute the values you have for adj and hyp. |dw:1359658096602:dw|

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