sinh(22.69140625-4)-0.72.69140625

Solution

sinh (2 \cdot 2.69140625 - 4) - 0.7 \cdot 2.69140625

\frac{\frac{5 ( e ^{2.765625} - 1 )}{e ^{1.3828125}} - 18.83984 \dots}{10}

Solution steps

sinh (2 \cdot 2.69140625 - 4) - 0.7 \cdot 2.69140625

= sinh (2 \cdot 2.69140625 - 4) - \frac{7}{10} \cdot 2.69140625

Simplify:

2 \cdot 2.69140625 - 4 = 1.3828125

sinh (1.3828125) - \frac{7}{10} \cdot 2.69140625 = \frac{10 sinh ( 1.3828125 ) - 18.83984 \dots}{10}

= \frac{10 sinh ( 1.3828125 ) - 18.83984 \dots}{10}

Rewrite using trig identities:

sinh (1.3828125) = \frac{e ^{2.765625} - 1}{2 e ^{1.3828125}}

= \frac{10 \cdot \frac{e ^{2.765625} - 1}{2 e ^{1.3828125}} - 18.83984 \dots}{10}

\frac{10 \cdot \frac{e ^{2.765625} - 1}{2 e ^{1.3828125}} - 18.83984 \dots}{10} = \frac{\frac{5 ( e ^{2.765625} - 1 )}{e ^{1.3828125}} - 18.83984 \dots}{10}

= \frac{\frac{5 ( e ^{2.765625} - 1 )}{e ^{1.3828125}} - 18.83984 \dots}{10}

\frac{10 0 ^{2} sin ( 6 0 ^{\circ} )}{9.8}

arctan (0.8718)

50 cos (5 2^{\circ})

\frac{1}{4 6} arctan (\frac{2}{3} tan (2 π))

sin (\frac{π}{3}) + cos^{2} (\frac{5 π}{6})