If tan theta= 15/8, then: a. sec theta = 17/8 b. cos theta = 15/17 c. cot theta = 8/15 d. csc theta = 17/15 there's potentially more than one answer.,

Hello there!

The only thing we have to do here is remember our trigonometric functions!

sin=y/r
cos=x/r
tan=y/x
sec=r/x
csc=r/y
cot=x/y

Knowing that tanᎾ=15/8, we know that y=15 and x=8

Now we need to look at the answer choices and see if they are correct.

A. secᎾ=17/8
Since secᎾ=r/x and r=17 and x=8, this is correct.

B. cosᎾ=15/17
Since cosᎾ=x/r and x=8 and r=17, this is wrong.

C. cotᎾ=8/15
Since cotᎾ=x/y and x=8 and y=15, this is also correct!

D. cscᎾ=17/15
Since cscᎾ=r/y and r=17 and y=15, this is right too.

I really hope this helps!
Best wishes :)