Find cosθ, tanθ, and cscθ, where θ is the angle shown in the figure.

Question

cosθ =

tanθ =

cscθ =

the hypotenuse side is empty

the other side is 15

the base is 8

the θ is at the bottom between the hypotenuse and base

Give exact values, not decimal approximations. 

Answer 1

The hypotenuse is sqrt(15^2 + 8^2) = 17

opposite side = 15

adjacent side = 8

cos(theta) = adjacent/hypotenuse = 8/17

sin(theta) = opposite/hypotenuse = 15/17

tan(theta) = sin(theta)/cos(theta) = 15/8

csc(theta) = 1/sin(theta) = 17/15