Question 289100
find the exact value of six trig functions of pi/4 radians.
Draw a 45/45/90 right triangle
Let the hypotenuse be 1.
Then, using Pytagoras, each side is sqrt(2)
----
sin (pi/4) = 1/sqrt(2) 
csc pi/4 = sqrt(2)/1 = sqrt(2)
--------------------------------
cos (pi/4) = 1/sqrt(2) 
sec (pi/4) = sqrt(2)
--------------------------------
tan (pi/4)= sqrt(2)/sqrt(2) = 1
cot (pi/4)= sqrt(2)/sqrt(2) = 1
==============================
Cheers,
Stan H.
==============================