Question

Find seco, coso, and coto, where is the angle shown in the figure.Give exact values, not decimal approximations.

Answer 1

step 1

Find out the value of cosθ

cosθ=8/17 ------> by CAH

step 2

Find out the value of secθ

secθ=1/cosθ

secθ=17/8

step 3

Find out the length of the vertical leg in the given right triangle

Applying the Pythagorean Theorem

17^2=8^2+y^2

y^2=17^2-8^2

y^2=225

y=15

step 4

Find out the value f cotθ

cotθ=8/15 -----> adjacent side divided by the opposite side

therefore

secθ=17/8

cosθ=8/17

cotθ=8/15