Math, asked by acchu8777, 10 months ago

If sin inverse of x is greater than cos inverse of x then

Answers

Answered by amitnrw
1

1/√2 < x ≤ 1  if  Sin⁻¹x  > Cos⁻¹x

Step-by-step explanation:

Sin⁻¹x  > Cos⁻¹x

=> Sin(Sin⁻¹x)  > Sin(Cos⁻¹x)

=> x  > √(1 - x²)

=> x² > 1 - x²

=> 2x² > 1

=> x² > 1/2

=> x  > 1/√2

but x can not be greater than 1

hence   1/√2 < x ≤ 1

Learn more:

If x is in first quadrant and sinx=cosx,then"x"=? - Brainly.in

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