What is the value of tan(((3pi)/2)/(2))-csc((3pi)/2) ?

The value of tan(((3pi)/2)/(2))-csc((3pi)/2) is 0

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tan(((3pi)/2)/(2))-csc((3pi)/2)

tan (\frac{\frac{3 π}{2}}{2}) - csc (\frac{3 π}{2})

0

Solution steps

tan (\frac{\frac{3 π}{2}}{2}) - csc (\frac{3 π}{2})

Simplify:

\frac{\frac{3 π}{2}}{2} = \frac{3 π}{4}

= tan (\frac{3 π}{4}) - csc (\frac{3 π}{2})

Rewrite using trig identities:

tan (\frac{3 π}{4}) = - 1

Rewrite using trig identities:

csc (\frac{3 π}{2}) = - 1

= - 1 - (- 1)

Simplify

= 0

- 6 sin (3) (\frac{2 π}{3})

140 cos (3 0^{\circ})

sin (\frac{π}{2} + 2 π)

sin (111 0^{\circ})

arcsin (\frac{sin ( 4 5 ^{\circ} )}{1.5})

What is the value of tan(((3pi)/2)/(2))-csc((3pi)/2) ?
The value of tan(((3pi)/2)/(2))-csc((3pi)/2) is 0