Trigonometry XI


   
 
Values of Trigonometric Functions of 30o, 45o, 60o and 90o
 
 
Let OA be the revolving ray starting from A. Let OA take the new position OP so that 
 
Draw PM perpendicular to OX and produce it to Q.
 
Draw OQ.
 
 
 
 
 
 
 
Let 2l be the length of each side of the triangle. Then
 
OP = OQ = QP = 2l. PM = MQ= l.
 
 
From OMP
 
 
 
 
 
 
 
 
 
 
 
Let OM = l = MP
 
 
 
 
 
 
 
 
 
 
 
Let PA = PO = 2l
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Let a unit circle with centre O at x-axis and y-axis at A(1,0), A(-1,0), B(0,1) and B(0,-1).
 
In the figure,
 
 
 
 
 
 
 
 
Here cosec 0o and cot 0o are not defined.
 
 
 
Values of trigonometric ratios of 180 (P), 360 (2P)
 
 
 
 
 
 
f) cosec 180o and cot 180o are not defined.
 
g) cosec 360o and cot 360o are not defined.
 
 
     
   
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