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1) A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant III .

 

The cosine of the angle is negative or positive
The sine of the angle is negative or positive

 

2)  In which quadrant does the terminal side of the angle −230° lie?

 

Quadrant I

Quadrant II

Quadrant III

Quadrant IV

 

3)

 

thank you :)

 Dec 14, 2018
 #1
avatar+129852 
+1

1) A point on the unit circle lies on the terminal side of an angle in standard position in Quadrant III .

 

The cosine of the angle is negative 
The sine of the angle is negative 

[ The sine and cosine are negative in QIII ]

 

 

2)  In which quadrant does the terminal side of the angle −230° lie?

To find the positive measure take  360 - 230  =   130°

And this angle is in  QII

 

3. sine theta   =   sqrt  [ 1 - cos^2 theta]  =  sqrt [ 1 - (5/6)^2]  =

 

sqrt [ 1 - 25/36 ]   =   sqrt  [ (36 - 25) / 36 ]  =   sqrt [11/36] =    [ sqrt 11 ] / 6 

 

 

cool cool cool

 Dec 14, 2018

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