Give the exact value for each / show work
a. (tan900°+sec135°) / csc(-90°)
b. (cos 5π/4)(tan7π/4) / cot (π/2)
a. (tan900°+sec135°) / csc(-90°)
tan 900 = tan 180 = 0
sec 135 = - sec 45 = - 2/ √2 = - √2
csc (-90) = csc (270) = -1
So...this just evaluates to ( 0 - √2) / 1 = -√2
b. (cos 5π/4)(tan7π/4) / cot (π/2)
cos 5pi/4 = cos 225° = -√2/2
tan 7pi/4 = tan 315° = -tan 45° = -1
cot pi/2 = cot 90° = 0
So......since we can't divide by 0....this is undefined