What is the value of cot((23pi)/4)*csc((4pi)/3) ?

The value of cot((23pi)/4)*csc((4pi)/3) is (2sqrt(3))/3

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cot((23pi)/4)*csc((4pi)/3)

cot (\frac{23 π}{4}) \cdot csc (\frac{4 π}{3})

\frac{2 3}{3}

Solution steps

cot (\frac{23 π}{4}) csc (\frac{4 π}{3})

Rewrite using trig identities:

cot (\frac{23 π}{4}) = - 1

Rewrite using trig identities:

csc (\frac{4 π}{3}) = - \frac{2 3}{3}

= (- 1) (- \frac{2 3}{3})

Simplify

= \frac{2 3}{3}

cos^{2} (9 0^{\circ})

arctan (\frac{2}{2})

arccsc (- 1)

arcsin (\frac{3}{4})

2 sin (0)

What is the value of cot((23pi)/4)*csc((4pi)/3) ?
The value of cot((23pi)/4)*csc((4pi)/3) is (2sqrt(3))/3