Question

if
$\csc(teta =17 \ 8then find sin(theta) and find \cos(theta)$
​

Answer 1

Answer:

Step by step Explanation:

Given,

csc∅ = 17/8

csc∅ = Hypotenuse/opposite side = 17/8

let,

BC = 8, AC = 17, AB = ?,

Now,

According to PHYTHAGAROUS THEROM,

(Hypotenuse)² = (side)² + (side)²

(AC)² = (AB)² + (BC)²

(17)² = (AB)² + (8)²

(289) = (AB)² + (64)

289-64 = (AB)²

225 = (AB)²

√225 = AB

√15×15 = AB

15 = AB

:. AB = 15 units.

Now consider,

Sin∅ = opposite side/hypotenuse = BC/AC = 8/17

Cos∅ = adjacent side/hypotenuse = AB/AC = 15/17.