Answer:
Step-by-step explanation:
[tex]\sf f(x) = \dfrac{1}{Sin \ x}[/tex]
f(x) does not contain values where sin x = 0. Sin x is 0 at integral multiples of π.
Domain = R - nπ , n is integers.
The range of Sin x is [-1 , 1] and in this range we cannot find 1/sin x .
Range = (-∞, -1] U [1,∞)
[tex]\sf f(x) =\dfrac{1}{Cos x}[/tex]
f(x) does not contain values where Cos x = 0 . Cos x is 0 at integral of multiples of (π/2)
[tex]\sf Domiain =R -\dfrac{(2n+1)\pi }{2}[/tex]
The range of Cos x is [-1,1] and in this range we cannot find 1/Cos x.
Range = (-∞, -1] U [1,∞)
