JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

1 Easy

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Application +4 | -1

The imaginary part of

\log \sin (x+i y)

is:

View answer and explanation

Correct option: B

\tan ^{-1}\left(\frac{\cos x \sinh y}{\sin x \cosh y}\right)

Option B (

\tan ^{-1}(\frac{{\cos x \sinh y}}{{\sin x \cosh y}})

) is correct because it correctly identifies the imaginary part of the expression after applying trigonometric identities and logarithmic properties.

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