SOLUTION: Find the exact value of each expression. a) cot^-1 (1) and b) arccos(√2/2)

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of each expression. a) cot^-1 (1) and b) arccos(√2/2)      Log On


   



Question 208934: Find the exact value of each expression.
a) cot^-1 (1)
and
b) arccos(√2/2)

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
both are 45 degrees,,,,,which has sides 1-1-sqrt2,,,or sqrt2-sqrt2-2
.
check, cot =1/1,,,,ok
,
cos = 1/sqrt2 or sqrt2/2
.
ok
.
since tan/cot positive in quadrant 3, (a) could also be 225 degrees
.
and since cos is positive in quadrant 4, (b) could also be 315 degrees