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?

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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)   (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) = = -√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)   (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

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