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कृपया अपनी पसंदीदा भाषा चुनें
यदि $a=\sin ^{-1}(\sin (5))$ और $b=\cos ^{-3}(\cos (5))$, तो $a^{2}+b^{2}$ किसके बराबर है?
(1) $4 \pi^{2}+25$
(2) $8 \pi^{2}-40 \pi+50$
(3) $4 \pi^{2}-20 \pi+50$
(4) 25
$a=\sin ^{-1}(\sin 5)=5-2 \pi$
और $b=\cos ^{-1}(\cos 5)=2 \pi-5$
$\therefore a^{2}+b^{2}=(5-2 \pi)^{2}+(2 \pi-5)^{2}$
$=8 \pi^{2}-40 \pi+50$
बीटा
