Question

An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?

Answer 1

We know cot theta = cos theta/sin theta
So we gave to find cos theta to get our answer. In a right triangle there is a Perpendicular, base and a hypotenuse.
And we know sin theta = Perp./Hyp. = 7/8 (Which is given as a ratio)
So let perpendicular be 7x
And hypotenuse. = 8x
Find the base by Pythagorus' theorem and then find cos theta = Base/hypo.
Then find cot theta by the relation given above. :)

Answer 2

So is it
seven divided by the square root of fifteen

Answer 3

Yes! :)
Kudos! :D