∵f(π/5)=asinπ/5+btanπ/5+3=5,∴asinπ/5+btanπ/5=2,
∴f(99π/5)=asin99π/5+btan99π/5+3=asin(20π-π/5)+btan(20π/5)+3=-asinπ/5-btanπ/5+3
=-(asinπ/5+btanπ/5)+3=-2+3=1
∵f(π/5)=asinπ/5+btanπ/5+3=5,∴asinπ/5+btanπ/5=2,
∴f(99π/5)=asin99π/5+btan99π/5+3=asin(20π-π/5)+btan(20π/5)+3=-asinπ/5-btanπ/5+3
=-(asinπ/5+btanπ/5)+3=-2+3=1