Question

Trigonometry - Advanced Functions
(A reward shall be given for the best response)

Use an addition/subtraction formula to determine the exact value of Tan(5π/4)

Answer 1

\[5\pi/4 * 180/\pi = 225 degrees\]
tan(180+45)
=
\[\frac{ \tan180+\tan45 }{ 1-\tan(180)\tan(45) }\]
Like this?

Answer 2

\[180 degrees = \pi \]
45 degrees = \[\pi/4\]

\[\tan(\pi) = \frac{ \sin(\pi) }{ \cos(\pi) }; \sin(\pi) = 0; \tan(\pi)=0\]
\[\tan(\pi/4) = \frac{ \sin(\pi/4) }{ \cos(\pi/4) }; \sin(\pi/4) = \cos(\pi/4); \tan(\pi/4) = 1\]

\[\frac{ 0+1 }{ 1-0 } = 1\]

Answer 3

Thank you so much

Answer 4

np