Find Exact Value of Trigonometric Expression...2

[nycmathguy]

Section 5.4

1. Is my answer correct?

2. Is there a better, faster approach to solving this type of messy problem? If so, can you show me by completely working out 39 step by step?

Thank you.

 

[MathLover1]

correct

you already did fastest way

39.

since tan(9pi/8)=tan(pi/8)

then tan(9pi)/8)-tan(pi/8)=0

=>

=0

 

[nycmathguy]

correct

you already did fastest way

39.

since tan(9pi/8)=tan(pi/8)

then tan(9pi)/8)-tan(pi/8)=0

=>

=0

What do you mean tan(9•pi/8) = tan(pi/8)?

Why does tan(9pi)/8) - tan(pi/8) = 0?

 

[MathLover1]

tan(9π/8)=tan(π/8+π) = tan (π/8)

Why does tan(9pi)/8) - tan(pi/8) = 0?-> substitute tan (π/8)
tan (π/8)- tan(pi/8) = 0

 

[nycmathguy]

tan(9π/8)=tan(π/8+π) = tan (π/8)

Why does tan(9pi)/8) - tan(pi/8) = 0?-> substitute tan (π/8)
tan (π/8)- tan(pi/8) = 0

Just got back from a rainy Coney Island day. Going back tomorrow to make a few recordings of the pier. Let me see if I can do some math before my pain in neck roommate returns.