Question

Drowing the group of inverse trignometric function sin`1 and cos `1x and solving the inequality cos`x>sin`1x.
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Answer 1

Answer:

Solution

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Correct option is

C

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].

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