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find the exact value of each trigonometric function of tan 180 degrees

 Jan 25, 2019
 #1
avatar+18754 
+1

Tan  = sin / cos    at 180 degrees =  0 /(-1) = 0

 Jan 25, 2019
 #2
avatar+102372 
+1

I think you must mean the value of each trig function of 180°

 

Note that  at 180°   x = -1, y = 0  and r = 1

 

So

 

sin (180)   =  y /r  =  0 /1  =  0

cos(180) = x / r =  -1 /1   = -1

sec (180)  = r /x = 1/-1  = -1

tan (180)  = y /x  =  0/ -1 = 0

 

Note that the csc and cot  are undefined because they are the reciprocals of sin and tan.....and each of these would result in a division by 0

 

 

cool cool cool

 Jan 25, 2019
edited by CPhill  Jan 25, 2019

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