What is the value of (picos(pi)-sin(pi))/(-pisin(pi)-cos(pi)) ?

The value of (picos(pi)-sin(pi))/(-pisin(pi)-cos(pi)) is -pi

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(picos(pi)-sin(pi))/(-pisin(pi)-cos(pi))

\frac{π cos ( π ) - sin ( π )}{- π sin ( π ) - cos ( π )}

- π

Solution steps

\frac{π cos ( π ) - sin ( π )}{- π sin ( π ) - cos ( π )}

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

sin (π) = 0

= \frac{π ( - 1 ) - 0}{- π 0 - ( - 1 )}

Simplify

= - π

2 tan (\frac{π}{2})

sin (3 0^{\circ}) + sin (6 0^{\circ})

tan (4.5)

sin (3 0^{\circ}) csc (3 0^{\circ})

sec (- 4 π)

What is the value of (picos(pi)-sin(pi))/(-pisin(pi)-cos(pi)) ?
The value of (picos(pi)-sin(pi))/(-pisin(pi)-cos(pi)) is -pi