What is the value of 200(e^{-2pi}cos(2)+e^{-4pi}cos(4)) ?

The value of 200(e^{-2pi}cos(2)+e^{-4pi}cos(4)) is -0.15588…

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200(e^{-2pi}cos(2)+e^{-4pi}cos(4))

200 (e^{- 2 π} cos (2) + e^{- 4 π} cos (4))

- 0.15588 \dots

Solution steps

200 (e^{- 2 π} cos (2) + e^{- 4 π} cos (4))

Refine to a decimal form

= - 0.15588 \dots

\frac{sin ( 5 0 ^{\circ} )}{sin ( 1 0 ^{\circ} )} - 2 cos (4 0^{\circ}) - 2 cos (2 0^{\circ})

4 sin (- 1 5^{\circ})

tan (arccos (\frac{2}{7}))

cos^{2} (13 5^{\circ}) - sin^{2} (21 0^{\circ})

sin (arctan (- \frac{5}{12}))

What is the value of 200(e^{-2pi}cos(2)+e^{-4pi}cos(4)) ?
The value of 200(e^{-2pi}cos(2)+e^{-4pi}cos(4)) is -0.15588…