Question

sec theta = 8/3. theta is an acute angle, use a right trianlge to find the value of tan theta

Answer 1

\[\sqrt{55}/3 ^{?}\]

Answer 2

sec = 8/3 then cos = 3/8
so cah says 3=adjacent and 8 = hypotenuse
so a^2+3^2=64
a=sqrt(55)
so
sin=sqrt(55)/8
so tan = (sqrt(55)/8)/(3/8)=sqrt(55)/3

Answer 3

yeah i realized. thanks though