If -1 -1- sin x- - 1- sin x-1-sin x-1- sin x -xm- x -0- -4-Find m

0 lt;x lt;(π/4) hence>0 lt;(x/2) lt;(π/8) >and>so>sin>(x/2) lt;cos(x/2)> ∴>√(1+sinx)=√(sin^2(x/2)+cos^2(x/2)+2si ...

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

Domain and Range of Basic Inverse Trigonometric Functions

If -1 √1+ s...

Question

If ${cot}^{- 1} (\frac{\sqrt{1 + sin x} + \sqrt{1 - sin x}}{\sqrt{1 + sin x} - \sqrt{1 - sin x}}) = \frac{x}{m}, x \in (0, \frac{π}{4})$ .Find $m$

Open in App

Solution

Suggest Corrections

Similar questions

{cot}^{- 1} [\frac{\sqrt{1 + sin x} + \sqrt{1 - sin x}}{\sqrt{1 + sin x} - \sqrt{1 - sin x}}] = \frac{x}{m}; x \in (0, \frac{π}{4})

m

y = {cot}^{- 1} \frac{\sqrt{1 + sin x} + \sqrt{1 - sin x}}{\sqrt{1 + sin x} - \sqrt{1 - sin x}}

\frac{d y}{d x}

x \in (0, \frac{π}{2}) \cup (\frac{π}{2}, π)

$c o t^{- 1} (\frac{\sqrt{1 + s i n x} + \sqrt{1 - s i n x}}{\sqrt{1 + s i n x} - \sqrt{1 - s i n x}}) = \frac{x}{2}, x ϵ (0, \frac{π}{4})$

{cot}^{- 1} (\frac{\sqrt{1 - sin x} + \sqrt{1 + sin x}}{\sqrt{1 - sin x} - \sqrt{1 + sin x}})

(0 < x < \frac{π}{2})

{cot}^{- 1} (\frac{\sqrt{1 + sin x} + \sqrt{1 - sin x}}{\sqrt{1 + sin x} - \sqrt{1 - sin x}}) = a x

x ϵ (0, \frac{π}{4})

a

Join BYJU'S Learning Program