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

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

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

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

- 2

Solution steps

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

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

Simplify:

\frac{\frac{π}{3}}{2} = \frac{π}{6}

= - 2 cos (\frac{π}{3}) csc (\frac{π}{6})

Use the following trivial identity:

cos (\frac{π}{3}) = \frac{1}{2}

Use the following trivial identity:

csc (\frac{π}{6}) = 2

= - 2 \cdot \frac{1}{2} \cdot 2

Simplify

- 2 \cdot \frac{1}{2} \cdot 2 : - 2

= - 2

\frac{1}{sin ( \frac{- 3 π}{4} )}

tan (\frac{11}{60})

\frac{π}{2} cos (π)

e - 4 π + sin (1)

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

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