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The terminal ray of angle  β , drawn in standard position, passes through the point  (−7, 23‾√).

What is the value of  cosβ ?

 Feb 12, 2020

Best Answer 

 #1
avatar+22108 
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I THINK you mean    -7 , - sqrt 23       this is in Quadrant III      sin and cos will be negative

 

    the point describes a right triangle with the x-axis

       hypotenuse (using Pythag Theor)

             =        hyp^2 =  (-7)^2  + (-sqrt 23)^2

                       hyp = sqrt 72

 

cos = adj / hyp     =  - 7 / sqrt(72)        and simplify......

 Feb 12, 2020
 #1
avatar+22108 
+2
Best Answer

I THINK you mean    -7 , - sqrt 23       this is in Quadrant III      sin and cos will be negative

 

    the point describes a right triangle with the x-axis

       hypotenuse (using Pythag Theor)

             =        hyp^2 =  (-7)^2  + (-sqrt 23)^2

                       hyp = sqrt 72

 

cos = adj / hyp     =  - 7 / sqrt(72)        and simplify......

ElectricPavlov Feb 12, 2020

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