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

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

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

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

π

Solution steps

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

Use the following trivial identity:

sin (π) = 0

Use the following trivial identity:

cos (π) = (- 1)

= \frac{0 + π ( - 1 )}{- 1 - π 0}

Simplify

= π

cos (21 5^{\circ})

cos (π^{3})

cos (π^{0})

arctan (3) - arctan (1)

sin (2 arccos (- \frac{3}{2}))

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