Define cscθ
cscθ=sinθ1
Define secθ
secθ=cosθ1
Define cotθ
cotθ=tanθ1
When is cscθ undefined?
When sinθ=0
When is secθ undefined?
When cosθ=0
Range of cscθ
(−∞,−1]∪[1,∞)
Range of secθ
(−∞,−1]∪[1,∞)
Pythagorean identity for csc and cot
csc2θ=1+cot2θ
Pythagorean identity for sec and tan
sec2θ=1+tan2θ
Simplify cscθ⋅sinθ
1