What is the value of cos(-(3pi)/2)+isin(-(3pi)/2) ?

The value of cos(-(3pi)/2)+isin(-(3pi)/2) is Undefined

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cos(-(3pi)/2)+isin(-(3pi)/2)

cos (- \frac{3 π}{2}) + i sin (- \frac{3 π}{2})

Undefined

Solution steps

cos (- \frac{3 π}{2}) + i sin (- \frac{3 π}{2})

Use the following property:

sin (- x) = - sin (x)

sin (- \frac{3 π}{2}) = - sin (\frac{3 π}{2})

= cos (- \frac{3 π}{2}) + i (- sin (\frac{3 π}{2}))

Use the following property:

cos (- x) = cos (x)

cos (- \frac{3 π}{2}) = cos (\frac{3 π}{2})

= cos (\frac{3 π}{2}) + i (- sin (\frac{3 π}{2}))

Simplify

= cos (\frac{3 π}{2}) - i sin (\frac{3 π}{2})

Rewrite using trig identities:

cos (\frac{3 π}{2}) = \frac{1}{sec ( \frac{3 π}{2} )}

cos (\frac{3 π}{2})

Use the basic trigonometric identity:

cos (x) = \frac{1}{sec ( x )}

= \frac{1}{sec ( \frac{3 π}{2} )}

= \frac{1}{sec ( \frac{3 π}{2} )} - i sin (\frac{3 π}{2})

Rewrite using trig identities:

sec (\frac{3 π}{2}) =

Undefined

sec (\frac{3 π}{2})

Use the basic trigonometric identity:

sec (x) = \frac{1}{cos ( x )}

= \frac{1}{cos ( \frac{3 π}{2} )}

Simplify

\frac{1}{cos ( \frac{3 π}{2} )} :

Undefined

\frac{1}{cos ( \frac{3 π}{2} )}

cos (\frac{3 π}{2}) = 0

= \frac{1}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

- arctan (\frac{5}{3})

e^{s i n (1)} cos (1)

\frac{1}{2} (arcsin (1) + \frac{1}{2} sin (2 arcsin (1)))

(3 sin (1 0^{\circ}) + cos (1 0^{\circ})) csc (4 0^{\circ})

\frac{tan ( 0 ) \cdot cos ( 0 )}{sin ( 0 )}

What is the value of cos(-(3pi)/2)+isin(-(3pi)/2) ?
The value of cos(-(3pi)/2)+isin(-(3pi)/2) is Undefined