Question

hey how to do this qn.....pls dont spam​

Answer 1

Answer:

Step-by-step explanation:

Function Domain Range

sin−1(x) [−1,1] [−π2,π2]

cos−1(x) [−1,1] [0,π]

Answer 2

Step-by-step explanation:

(a)

Range of sin x = [-1,1]

And also, we know the fact,

Domain of inverse function = Range of the function.  

So, domain of sin⁻¹(x) : [-1, 1]  or  -1 ≤ x ≤ 1

Then,

Range of sin¹ₓ = [-π/2, π/2]

Therefore,

Domain of sin⁻¹x= [-1 , 1]

Range of sin⁻¹x = [-π/2, π/2]

(b)

Range of cos x = [-1,1]

And also, we know the fact,

Domain of inverse function = Range of the function.  

So, domain of cos⁻¹(x) : [-1, 1] .

Then,

Range of cos¹ₓ = [0,π]

Therefore,

Domain of cos⁻¹x= [-1 , 1]

Range of cos⁻¹x = [0,π]

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