What is the value of cosh(2)-sinh(sqrt(3)) ?

The value of cosh(2)-sinh(sqrt(3)) is (e^4+1-e^{sqrt(3)+2}+e^{-sqrt(3)+2})/(2e^2)

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cosh(2)-sinh(sqrt(3))

cosh (2) - sinh (3)

\frac{e ^{4} + 1 - e ^{3 + 2} + e ^{- 3 + 2}}{2 e ^{2}}

Solution steps

cosh (2) - sinh (3)

Rewrite using trig identities:

sinh (3) = \frac{e ^{23} - 1}{2 e ^{3}}

= cosh (2) - \frac{e ^{23} - 1}{2 e ^{3}}

cosh (2) - \frac{e ^{23} - 1}{2 e ^{3}} = \frac{2 e ^{3} cosh ( 2 ) - e ^{23} + 1}{2 e ^{3}}

= \frac{2 e ^{3} cosh ( 2 ) - e ^{23} + 1}{2 e ^{3}}

Rewrite using trig identities:

cosh (2) = \frac{e ^{4} + 1}{2 e ^{2}}

= \frac{2 e ^{3} \frac{e ^{4} + 1}{2 e ^{2}} - e ^{23} + 1}{2 e ^{3}}

Simplify

\frac{2 e ^{3} \frac{e ^{4} + 1}{2 e ^{2}} - e ^{23} + 1}{2 e ^{3}} : \frac{e ^{4} + 1 - e ^{3 + 2} + e ^{- 3 + 2}}{2 e ^{2}}

= \frac{e ^{4} + 1 - e ^{3 + 2} + e ^{- 3 + 2}}{2 e ^{2}}

11 \cdot cos (33 7^{\circ}) + 11 \cdot cos (11 9^{\circ})

arcsin (\frac{42}{40})

\frac{1}{cos ( - 1 )}

tan (293 3^{\circ})

\frac{- sec ( 1 ) + 6 sec ^{3} ( 1 )}{cot ( 1 )}

What is the value of cosh(2)-sinh(sqrt(3)) ?
The value of cosh(2)-sinh(sqrt(3)) is (e^4+1-e^{sqrt(3)+2}+e^{-sqrt(3)+2})/(2e^2)