Simplify Trigonometric Fraction

[nycmathguy]

 

[MathLover1]

(sin(7π/8)+sin(π/18))/sin(2π/9)
=sin(π/18) csc((2 π)/9) + sin(π/8) csc((2 π)/9)
=0.86549834

 

[nycmathguy]

(sin(7π/8)+sin(π/18))/sin(2π/9)
=sin(π/18) csc((2 π)/9) + sin(π/8) csc((2 π)/9)
=0.86549834

Can it be simplified without a calculator?

 

[MathLover1]

Can it be simplified without a calculator?

yes, but this is much easier

 

[nycmathguy]

yes, but this is much easier

Ok.