यदि sinh x = frac{sqrt{21}}{2} है,तो cosh 2x | vedclass

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(C) दिया गया है $\sinh x = \frac{\sqrt{21}}{2}$.हम जानते हैं कि $\cosh^2 x - \sinh^2 x = 1$,इसलिए $\cosh x = \sqrt{1 + \sinh^2 x} = \sqrt{1 + \frac{21

Vedclass · Accepted Answer

$\frac{23 + 5\sqrt{21}}{2}$

Vedclass · Answer

(C) दिया गया है $\sinh x = \frac{\sqrt{21}}{2}$.हम जानते हैं कि $\cosh^2 x - \sinh^2 x = 1$,इसलिए $\cosh x = \sqrt{1 + \sinh^2 x} = \sqrt{1 + \frac{21}{4}} = \sqrt{\frac{25}{4}} = \frac{5}{2}$.सर्वसमिकाओं $\sinh 2x = 2 \sinh x \cosh x$ और $\cosh 2x = \cosh^2 x + \sinh^2 x$ का उपयोग करने पर:$\sinh 2x = 2 	imes \frac{\sqrt{21}}{2} 	imes \frac{5}{2} = \frac{5\sqrt{21}}{2}$.$\cosh 2x = (\frac{5}{2})^2 + (\frac{\sqrt{21}}{2})^2 = \frac{25}{4} + \frac{21}{4} = \frac{46}{4} = \frac{23}{2}$.अतः,$\cosh 2x + \sinh 2x = \frac{23}{2} + \frac{5\sqrt{21}}{2} = \frac{23 + 5\sqrt{21}}{2}$.

यदि $\sinh x = \frac{\sqrt{21}}{2}$ है,तो $\cosh 2x + \sinh 2x = $

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