Question

drawing the graph of inverse trigonometric functions sin-¹x and cos-¹x and solving the inequality cos-¹x>sin-¹x
​

Answer 1

Answer:

x ∈ (

2

1

,1)

The intersection point of sin(x) and cos(x) is x=

4

π

between [0,

2

π

].

Now cos(x) is a decreasing function in the above interval while sin(x) is an increasing function in the above interval.

Also.

cos(x)>sin(x) between [0,

4

π

] while

sin(x)>cos(x) between [

4

π

,

2

π

]

Hence

sin

−1

(x)>cos

−1

(x) between [

2

1

,1].

Step-by-step explanation:

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