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Suppose \( \theta \in\left[0, \frac{\pi}{4}\right]\) is a solution of \(4 \cos \theta-3 \sin \theta=1\). Then \(\cos \th…

Q1

Suppose \( \theta \in\left[0, \frac{\pi}{4}\right]\) is a solution of \(4 \cos \theta-3 \sin \theta=1\). Then \(\cos \theta\) is equal to :

[JEE Main 2024, 5 Apr (Shift 1)]

a

\(\frac{4}{(3 \sqrt{6}+2)}\)

b

\(\frac{4}{(3 \sqrt{6}-2)}\)

c

\(\frac{6+\sqrt{6}}{(3 \sqrt{6}+2)}\)

d

\(\frac{6-\sqrt{6}}{(3 \sqrt{6}-2)}\)

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