The number of real solutions of the equation tan-1-x2-3x-2-cos-1-4x-x2-3- is

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Properties Derived from Trigonometric Identities

The number of...

Question

The number of real solutions of the equation $t a n^{- 1} \sqrt{x^{2} - 3 x + 2} + c o s^{- 1} \sqrt{4 x - x^{2} - 3} = π$ is

one

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

two

No worries! We‘ve got your back. Try BYJU‘S free classes today!

zero

No worries! We‘ve got your back. Try BYJU‘S free classes today!

infinite

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

t a n^{- 1} \sqrt{x^{2} - 3 x + 2} + c o s^{- 1} \sqrt{4 x - x^{2} - 3} = π

The number of real solutions of the equation $t a n^{- 1} \sqrt{x (x + 1)} + s i n^{- 1} \sqrt{x^{2} + x + 1} = \frac{π}{2}$ is

s i n^{- 1} \sqrt{4 x - x^{2} - 3} + t a n^{- 1} \sqrt{x^{2} - 3 x + 2} = \frac{π}{2}

{tan}^{- 1} (\frac{1}{2 x + 1}) + {tan}^{- 1} (\frac{1}{4 x + 1}) = {tan}^{- 1} (\frac{2}{x^{2}})

t a n^{- 1} (\sqrt{x (x + 1)} + s i n^{- 1} \sqrt{(x^{2} + x + 1)} = \frac{π}{2}

Join BYJU'S Learning Program