Question

sin(sin^-1x+cos^-1x)
pls answer this ​

Answer 1

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

$\longmapsto$QUESTION

$\displaystyle \: \sin({ \sin }^{ - 1} x + { \cos }^{ - 1} x )$

$\longmapsto$FORMULA TO BE IMPLEMENTED

We are aware of the identity on Trigonometric Inverse Functions that

$\displaystyle \: { \sin }^{ - 1} x + { \cos }^{ - 1} x = \frac{\pi}{2}$

$\longmapsto$CALCULATION

$\displaystyle \: \sin({ \sin }^{ - 1} x + { \cos }^{ - 1} x )$

$= \displaystyle \: \sin \frac{\pi}{2}$

$= 1$

Answer 2

Answer:

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