Real part of ({\cos h}(\alpha + i\beta)) is. | MATH - HYPERBOLIC FUNCTIONS | SolveeIt

Real part of ${\cos h}(\alpha + i\beta)$ is.

$\cosh\alpha\cos\beta$

$\cos\alpha\cos\beta$

$\cos\alpha\cosh\beta$

$\sin\alpha{\sin h}\beta$

Answer

$\cosh\alpha\cos\beta$

Explanation

Real part of $\cosh$ $(\alpha + i\beta)$ is

$\because$ ${\cos h}(\alpha + i\beta)$

$= {\cos h}\alpha{\cos h}i\beta + {\sin h}\alpha{\sin h}\beta i$

$= {\cos h}\alpha\cos\beta + i{\sin h}\alpha\sin\beta$

∴ Real part = ${\cos h}\alpha\cos\beta$ .

Question: Real part of \({\cos h}(\alpha + i\beta)\) is....