SOLUTION: Find the exact value of the trigonometric function at the given real number. cos(− π/4) csc(−π/4) cot(−π/4) How would I solve these?

Algebra ->  Trigonometry-basics -> SOLUTION: Find the exact value of the trigonometric function at the given real number. cos(− π/4) csc(−π/4) cot(−π/4) How would I solve these?       Log On


   

Question 919718: Find the exact value of the trigonometric function at the given real number.
cos(− π/4)
csc(−π/4)
cot(−π/4)
How would I solve these?
Found 2 solutions by ewatrrr, rothauserc:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

cos(− π/4)  = cos(π/4) = √2/2

 csc(−π/4) = 1/sin(−π/4) = -1/sin(π/4) = -1%2F%28sqrt%282%29%2F2%29 = -√2

 cot(−π/4) =  1 /tan(-π/4) =  -1/tan(π/4)  = -1

..............

θ	radians	sin θ	cos θ	tan θ

0°	0	0	1	0

30°	π/6	1/2	√3/2	√3/3

45°	π/4	√2/2	√2/2	1

60°	π/3	√3/2	1/2	√3

90°	π/2	1	0	─

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
pi is 180 degrees, so -pi/4 = -180/4 = -45 degrees = 360 - 45 = 315 degrees
cos(315) = 0.707106781
csc(315) = 1/sin(315) = −1.414213562
cot(315) = cos(315) / sin(315) = 0.707106781 / −0.707106781 = -1