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})

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

sin (0^{2})

15 \cdot tan (2 7^{\circ})

arctan (- 0.4)

2 sin (\frac{5 π}{4}) + 2 cos (\frac{5 π}{4})

\frac{2 tan ( 7 5 ^{\circ} )}{1 - tan ^{2} ( 7 5 ^{\circ} )}

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