Solve e^-2sin(2.1)-e^-2sin(3)/0.01

$$\frac { e ^ { - 2 } \sin ( 2.1 ) - e ^ { - 2 } \sin ( 3 ) } { 0.01 }$$

Evaluate

$$-\frac{7846123768193777}{5000000000000000e^{2}}\approx -0.212371476$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{e ^ {-2} 0.036643708706556276 - e ^ {-2} 0.05233595624294383}{0.01}$$

Combine e^{-2}\times 0.036643708706556276 and -e^{-2}\times 0.05233595624294383 to get -0.015692247536387554e^{-2}.

$$\frac{-0.015692247536387554e^{-2}}{0.01}$$

Divide -0.015692247536387554e^{-2} by 0.01 to get -1.5692247536387554e^{-2}.

$$-1.5692247536387554e^{-2}$$

Expand

$$-\frac{7846123768193777}{5000000000000000e^{2}}$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{e ^ {-2} 0.036643708706556276 - e ^ {-2} 0.05233595624294383}{0.01}$$

Combine e^{-2}\times 0.036643708706556276 and -e^{-2}\times 0.05233595624294383 to get -0.015692247536387554e^{-2}.

$$\frac{-0.015692247536387554e^{-2}}{0.01}$$

Divide -0.015692247536387554e^{-2} by 0.01 to get -1.5692247536387554e^{-2}.

$$-1.5692247536387554e^{-2}$$