tan-1x 2- cot-1 x 2 - 5- 2-8- x-

Let tan^ 1x=t ⇒ t^2+ ( π/2 t )^2=5 π^2/8 ⇒ t= π/4 or 3π/4 ⇒ x = 1 ...

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Conditional Identities

tan-1x 2+ cot...

Question

${(t a n^{- 1} x)}^{2} + {(c o t^{- 1} x)}^{2} = \frac{5 π^{2}}{8} \Rightarrow x =$

-1

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$π \sqrt{\frac{5}{8}}$

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(t a n^{- 1} x)^{2} + (c o t^{- 1} x)^{2} = \frac{5 π^{2}}{8}

x

(t a n^{- 1} x)^{2} + (c o t^{- 1} x)^{2} = 5 π^{2} / 8

{({t a n}^{- 1} x)}^{2} + {({c o t}^{- 1} x)}^{2} = \frac{{5 π}^{2}}{8}

({tan}^{- 1} x)^{2} + ({cot}^{- 1} x)^{2} = \frac{5 π^{2}}{8} \Rightarrow x =

{(t a n^{- 1} x)}^{2} + {(c o t^{- 1} x)}^{2} = \frac{5 π^{2}}{8}

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