Start Free Mock LoginAlready registered? Login here

Mathematics - Functions Question with Solution | TestHub

MathematicsFunctionsDomain-RangeMedium2 minQB

MathematicsMediumsingle choice

Let $f (x) = (sin^{- 1} x)^{2} + (cos^{- 1} x)^{2}$ then

Options:

Answer:

Solution:

$f (x) = 2 (sin^{- 1} x)^{2} - π sin^{- 1} x + \frac{π ^{2}}{4}$ $= 2 (sin^{- 1} x - \frac{π}{4})^{2} + \frac{π ^{2}}{8} \Rightarrow f (x) \in [\frac{π ^{2}}{8}, \frac{5 π ^{2}}{4}]$

Stream:JEESubject:MathematicsTopic:FunctionsSubtopic:Domain-Range

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...