1. Tardigrade
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  4. Assume that 3.13 ≤ π ≤ 3.15. The integer closest to the value of sin -1( sin 1 cos 4+ cos 1 sin 4 ), where 1 and 4 appearing in sin and cos are given in radians, is:

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Q. Assume that $3.13 \leq \pi \leq 3.15$. The integer closest to the value of $\sin ^{-1}(\sin 1 \cos 4+\cos 1$ $\sin 4$ ), where 1 and 4 appearing in $\sin$ and $\cos$ are given in radians, is:

KVPYKVPY 2020

Solution:

$\theta=\sin ^{-1}(\sin 5)$
image
$=-(2 \pi-5)$
$=5-2 \pi \approx-1.26$ (as $\pi \approx 3.13)$