Question

given tan theta=7/(*radical*15) and sec theta > 0, find sin and cos theta

Answer 1

this same as other one?

Answer 2

no
different

Answer 3

draw a right triangle. label one angle theta, say.
then put "opposite side" 7,
"adjacent side" radical 15

solve for hypotenuse via pythagoras. you get
\[h^2=7^2+\sqrt{15}^2=49+15=64\]so h = 8

Answer 4

now you know all the ratios, so you are essentially done.
for example
\[\sin(\theta)=\frac{7}{15}\]