Which one is correct from the following [RPET 2001] - Vidyadip

MCQ

Which one is correct from the following [RPET 2001]

✓
$\sin (ix)=i\,\sinh \,x$
B
$\cos (ix)=i\,\cosh \,x$
C
$\sin (ix)=-i\,\sinh \,x$
D
$\tan (ix)=-i\,\tanh \,x$

✓

Answer

Correct option: A.

$\sin (ix)=i\,\sinh \,x$

A

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Complex Numbers→Complex Numbers — all question types→MATHS STD 11 Science question papers→Rajasthan Board STD 11 Science question papers→Rajasthan Board question paper generator→

Similar questions

f is a real valued function given by $\text{f(x)}=27\text{x}^3+\frac{1}{\text{x}^3}$ and $\alpha,\beta$ are roots of $3\text{x}+\frac{1}{\text{x}}=12$ Then,

The lines 2x−3y=5 and 3x−4y=7 are the diameters of a circle of area 154 sq.units. The equation of the circle is:

If $\text{R}=\{(\text{x, y}):\text{x, y}\in\text{Z},\text{ x}^2+\text{y}^2\leq4\}$ is a relation on Z, then the domain of R is:

{0, 1, 2}
{0, -1, -2}
{-2, -1, 0, 1, 2}
none of these.

$\lim_\limits{\text{x} \rightarrow 2}\Bigg(\frac{\sqrt{1-\text{cos}{2(\text{x}-2)}}}{\text{x}-2}\Bigg):$

If the length of the double ordinate of parabola $x^2=$ $8 y$, then its ends will be :

What will be the value of f(x) if, 2A, A + B, C are integers and f(x) = Ax² + Bx + C = 0?

Let (3, 4, -1) and (-1, 2, 3) be the end points of a diameter of a sphere. Then, the radius of the sphere is equal to

If tr is the rth term in the expansion of (1+ x)101, then what is the ratio $\frac{\text{t}20}{\text{t}19}$ equal to?

The domain of definition of $\text{f(x)}=\sqrt{\frac{\text{x}+3}{(2-\text{x})(\text{x}-5)}}$ is:

$(-\infty,-3]\cup(2,5)$
$(-\infty,-3]\cup(2,5)$
$(-\infty,-3]\cup[2,5]$
None of these.

Find the number of ways of arranging the letters of the words Danger so that no vowel occupies odd place.