iran-konkur 2013 Q110

iran-konkur · Other · konkur-riazi_1392 Trig Graphs & Exact Values
110- What is the value of $\tan^{-1}\sqrt{x^2 + x} + \sin^{-1}\sqrt{x^2 + x + 1}$?
(1) $\dfrac{\pi}{4}$ (2) $\dfrac{\pi}{2}$ (3) $\dfrac{3\pi}{4}$ (4) $\pi$
110- What is the value of $\tan^{-1}\sqrt{x^2 + x} + \sin^{-1}\sqrt{x^2 + x + 1}$?

(1) $\dfrac{\pi}{4}$ \hfill (2) $\dfrac{\pi}{2}$ \hfill (3) $\dfrac{3\pi}{4}$ \hfill (4) $\pi$