Need Help ASAP ! Topic is trigonometric ratios.

Question

asked Jun 28, 2022 201k views

1 Answer

James Campbell · Answer 1 · 2022-07-04T07:46:47+0000

Answer:

$\cos(T)$ =
(√(15))/(5)

Explanation:

Given parameters.

$TU = 4\sqrt 5$

$SU = 4\sqrt 2$

$ST = 4\sqrt 3$

Required

Determine
$\cos(T)$

Reference to
$\angle T$ , we have:

$Opposite = 4\sqrt 2$

$Adjacent = 4\sqrt 3$

$Hypotenuse = 4\sqrt 5$

Apply trigonometry ratio of cosine

$\cos(T)$
= (Adjacent)/(Hypotenuse)

Substitute values for Adjacent and Hypotenuse

$\cos(T)$
$= (4\sqrt 3)/(4\sqrt 5)$

$\cos(T)$
$= (\sqrt 3)/(\sqrt 5)$

Rationalize:

$\cos(T)$
$= (\sqrt 3)/(\sqrt 5)*(\sqrt 5)/(\sqrt 5)$

$\cos(T)$ =
(√(15))/(5)