SOLUTION: Find the values of all six trigonometric functions for an angle in standard position having each point on its terminal side. Questions: (-8,15) (3, -4) and (-2squarerootof2, 2s

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Question 551164: Find the values of all six trigonometric functions for an angle in standard position having each point on its terminal side.
Questions:
(-8,15)
(3, -4)
and (-2squarerootof2, 2squarerootof2)
I know I need to find sin, cosine, tangent and their reciprocals. That's all I got to....

Answer by Edwin McCravy(20065)   (Show Source): You can put this solution on YOUR website!
Plot the point (-2,)


 

Draw a perpendicular to the x-axis. That makes a right triangle.  Label the
horizontal side x = the x-coordinate of the point = -2sqrt(2), and the vertical
side y = the y-coordinate of the point sqrt(2)).


 

Calculate the hypotenuse of the right triangle using the Pythagorean
theorem:

r² = x² + y²
r² = (-2)² + ()²
r² = (-2)²()² + 2
r² = 4(2) + 2
r² = 8 + 2
r² = 10
r = 

Label r:



 =  =  = · =  =  =  =  

 =  =  = · =  =  =  =  = 

 =  =  =  =   = 

 =  =  = · =  =  =  = 

 =  =  =  = 

 =  =  =  = -2


Edwin

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