What is the value of cos(5pi)+isin(5pi) ?

The value of cos(5pi)+isin(5pi) is -1

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cos(5pi)+isin(5pi)

cos (5 π) + i sin (5 π)

- 1

Solution steps

cos (5 π) + i sin (5 π)

cos (5 π) = cos (π)

= cos (π) + i sin (5 π)

sin (5 π) = sin (π)

= cos (π) + i sin (π)

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

sin (π) = 0

= - 1 + i 0

Simplify

- 1 + i 0 : - 1

= - 1

\frac{sin ( 15 0 ^{\circ} ) + cot ( 31 5 ^{\circ} )}{3 cos ( 21 0 ^{\circ} )}

0.23 \cdot sin (62. 2^{\circ})

tan (\frac{3 π}{16})

19.6 cos (3 0^{\circ})

tan (arccot (\frac{2 π}{3}))