KVPY 2020-21 SB SX Exam Previous Papers

© examsiri.com

Question : 6 of 120

Marks: +1, -0

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 :

$-1$
1
3
5

Solution:

\θ=\sin ^{-1}(\sin 5)

=-(2 \π-5)

=5-2 \π\≈-1.26

(as

\π\≈3.13)

© examsiri.com

Go to Question:

Prev Question

Next Question