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JEE MATHEMATICS MCQ: HYPERBOLIC FUNCTIONS

1 Easy

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Application +4 | -1

\cos (x+h y)

is cqual to:

View answer and explanation

Correct option: C

\cos x \cosh y-i \sin x \sinh y

Option C (cos x cosh y - i sin x sinh y) is correct as it represents the expansion of cos(x + iy) using Euler's formula and hyperbolic functions.

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{H}: {xy}-{y}-2 {x}-2=0

. If normal drawn to

{H}

{P}(3,4)

intersects the curve again at

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\frac{\alpha}{\beta}

is The imaginary part of

\log \sin (x+i y)

{\sinh ^{ - 1}}\,\,2 + {\sinh ^{ - 1}}\,\,3 = x\; \Rightarrow \cosh \,\,x

\frac{{1 + \mathrm{tanh\;}\,\,\frac{x}{2}}}{{1 - \mathrm{tanh\;}\,\,\frac{x}{2}}}

is equal to Which of the following functions is not defined at

x=0

? The real and imaginary part of

2 \sin (\alpha+i \beta) \cos (\alpha-i \beta)